{"id":10594,"date":"2021-02-15T11:25:56","date_gmt":"2021-02-15T05:55:56","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/ol\/?p=10594"},"modified":"2021-05-26T10:47:44","modified_gmt":"2021-05-26T05:17:44","slug":"geometric-progressions","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/ol\/ordinary-level\/geometric-progressions\/","title":{"rendered":"\u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2"},"content":{"rendered":"\n
\n
\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\n<\/div>\n\n\n\n

\u0d85\u0db1\u0dd4\u0dba\u0dcf\u0dad \u0db4\u0daf \u0daf\u0dd9\u0d9a\u0d9a\u0dca \u0d85\u0dad\u0dbb \u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad\u0dba \u0dc3\u0db8\u0dcf\u0db1 \u0dc0\u0db1 \u0dc3\u0d82\u0d9b\u0dca\u200d\u0dba\u0dcf \u0dbb\u0da7\u0dcf \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd3 \u0dbd\u0dd9\u0dc3 \u0dc4\u0daf\u0dd4\u0db1\u0dca\u0dc0\u0dba\u0dd2.<\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n

\u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0d9a \u0db8\u0dd4\u0dbd\u0dca \u0db4\u0daf n \u0dc0\u0dbd \u0d93\u0d9a\u0dca\u200d\u0dba\u0dba,<\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n

1.<\/strong> \u0db4\u0dc4\u0dad \u0daf\u0dd3 \u0d87\u0dad\u0dd2 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2 \u0dc0\u0dbd \u0db4\u0dc5\u0db8\u0dd4 \u0db4\u0daf\u0dba \u0dc4\u0dcf \u0db4\u0ddc\u0daf\u0dd4 \u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

I)  3,6,12\u2026<\/p>\n\n\n\n

II) -2,6,-18\u2026<\/p>\n\n\n\n

III) 4,20,100\u2026<\/p>\n\n\n\n

IV) 5,-10,20\u2026<\/p>\n\n\n\n

V) 8,24,72\u2026<\/p>\n\n\n\n

2.<\/strong> \u0db4\u0dc4\u0dad \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2 \u0dc0\u0dbd \u0d8a\u0dc5\u0d9f \u0db4\u0daf \u0daf\u0dd9\u0d9a \u0dc3\u0db8\u0dca\u0db4\u0dd6\u0dbb\u0dca\u0dab \u0d9a\u0dbb\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

I) 3,6,12\u2026<\/p>\n\n\n\n

II) 5,15,45\u2026<\/p>\n\n\n\n

III) 4,20,100\u2026<\/p>\n\n\n\n

IV) 10,30,90\u2026<\/p>\n\n\n\n

V) 5,30,180\u2026<\/p>\n\n\n\n

3.<\/strong> a \u0dc4\u0dcf r \u0daf\u0dd9\u0db1 \u0dbd\u0daf \u0db4\u0dc4\u0dad \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2 \u0dc0\u0dbd \u0db8\u0dd4\u0dbd\u0dca \u0db4\u0daf 4 \u0dbd\u0dd2\u0dba\u0dcf \u0daf\u0d9a\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

I) a = 10, r = 2<\/p>\n\n\n\n

II) a = -3, r = 3<\/p>\n\n\n\n

III) a = 10, r = -2<\/p>\n\n\n\n

IV) a = 5, r = 4<\/p>\n\n\n\n

V) a =8, r = 3<\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n

4. <\/strong>5,10,20\u2026 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 6 \u0dc0\u0db1 \u0db4\u0daf\u0dba \u0db6\u0dbd\u0dba\u0d9a\u0dca \u0dbd\u0dd9\u0dc3 \u0dbd\u0dd2\u0dba\u0db1\u0dca\u0db1.(\u0db4\u0dd2\u0dc5\u0dd3\u0dad\u0dd4\u0dbb \u0daf\u0dbb\u0dca\u0dc1\u0d9a \u0d86\u0d9a\u0dcf\u0dbb\u0dba\u0dd9\u0db1\u0dca \u0dad\u0db6\u0db1\u0dca\u0db1.)<\/p>\n\n\n\n

5.<\/strong> \u0db4\u0dc4\u0dad \u0daf\u0dd3 \u0d87\u0dad\u0dd2 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2 \u0dc0\u0dbd \u0d89\u0daf\u0dd2\u0dbb\u0dd2\u0dba\u0dd9\u0db1\u0dca \u0daf\u0d9a\u0dca\u0dc0\u0dcf \u0d87\u0dad\u0dd2 \u0db4\u0daf\u0dba\u0dd9\u0dc4\u0dd2 \u0d85\u0d9c\u0dba \u0db6\u0dbd\u0dba\u0d9a\u0dca \u0d87\u0dc3\u0dd4\u0dbb\u0dd2\u0db1\u0dca \u0daf\u0d9a\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

I) 2,4,8\u2026 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 10 \u0dc0\u0db1 \u0db4\u0daf\u0dba<\/p>\n\n\n\n

II)3,6,12,24… \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 8 \u0dc0\u0db1 \u0db4\u0daf\u0dba<\/p>\n\n\n\n

III) 3,-6,12,-24… \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 8 \u0dc0\u0db1 \u0db4\u0daf\u0dba<\/p>\n\n\n\n

IV) 10,-20,40\u2026 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 8 \u0dc0\u0db1 \u0db4\u0daf\u0dba<\/p>\n\n\n\n

V) 4,12,36\u2026 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 5 \u0dc0\u0db1 \u0db4\u0daf\u0dba<\/p>\n\n\n\n

6.<\/strong> -3,-9,-27\u2026 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda \u0db4\u0ddc\u0daf\u0dd4 \u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

7.<\/strong> 4,8,16,32… \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda 7 \u0dc0\u0db1 \u0db4\u0daf\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

8.<\/strong> 20, -60 \u0dba\u0db1\u0dd4 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0d9a \u0d85\u0db1\u0dd4\u0dba\u0dcf\u0dad \u0db4\u0daf 2\u0d9a\u0dd2.\u0d91\u0dc4\u0dd2 \u0db4\u0ddc\u0daf\u0dd4 \u0d85\u0db1\u0dd4\u0db4\u0dcf\u0dad\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

9.<\/strong> 24,72 \u0dba\u0db1\u0dd4 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0d9a \u0daf\u0dd9\u0dc0\u0db1 \u0dc4\u0dcf \u0dad\u0dd4\u0db1\u0dca\u0dc0\u0db1 \u0db4\u0daf\u0dba \u0dc0\u0dda.\u0db8\u0dd9\u0db8 \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda \u0db8\u0dd4\u0dbd\u0dca \u0db4\u0daf\u0dba \u0dc4\u0dcf \u0dc4\u0dad\u0dbb\u0dc0\u0db1 \u0db4\u0daf\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\n\n\n\n

10.<\/strong> 2,6,18… \u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda \u0dc4\u0dad\u0dca\u0dc0\u0db1 \u0db4\u0daf\u0dba \u0d91\u0db8 \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0dda\u0db8 \u0db4\u0dc3\u0dca\u0dc0\u0db1 \u0db4\u0daf\u0dba \u0db8\u0dd9\u0db1\u0dca \u0d9a\u0dd3 \u0d9c\u0dd4\u0dab\u0dba\u0d9a\u0dca\u0daf?<\/p>\n\n\n\n

\u0db4\u0dd2\u0dc5\u0dd2\u0dad\u0dd4\u0dbb\u0dd4<\/h3>\n\n\n\n

1.<\/strong> <\/p>\n\n\n\n

I) a = 3, r = 2<\/p>\n\n\n\n

II) a = -2, r = -3<\/p>\n\n\n\n

III) a = 4, r = 5<\/p>\n\n\n\n

IV) a =5, r = -2<\/p>\n\n\n\n

V) a= 8, r = 3<\/p>\n\n\n\n

2.<\/strong><\/p>\n\n\n\n

I) 24, 48<\/p>\n\n\n\n

II) 135, 405<\/p>\n\n\n\n

III) 500, 2500<\/p>\n\n\n\n

IV) 270, 810<\/p>\n\n\n\n

V) 1080, 6480<\/p>\n\n\n\n

3.<\/strong><\/p>\n\n\n\n

I) 10, 20, 40, 80<\/p>\n\n\n\n

II) -3, -9, -27, -81<\/p>\n\n\n\n

III) 10, -20, 40, -80<\/p>\n\n\n\n

IV) 5, 20, 80, 320<\/p>\n\n\n\n

V) 8, 24, 72, 216<\/p>\n\n\n\n

4.<\/strong> 5 \u00d7 25<\/sup><\/p>\n\n\n\n

5.<\/strong><\/p>\n\n\n\n

I) T10<\/sub> =  210<\/sup>     <\/p>\n\n\n\n

II) T8<\/sub> = 3 x 27<\/sup>      <\/p>\n\n\n\n

III) T8<\/sub> = 3 x (- 2)7<\/sup>              <\/p>\n\n\n\n

IV) T8<\/sub> = 10 x (-2)7<\/sup>    <\/p>\n\n\n\n

V) T5<\/sub> = 4 x 34<\/sup><\/p>\n\n\n\n

6. <\/strong>r = 3<\/p>\n\n\n\n

7.<\/strong> T7<\/sub> = 256<\/p>\n\n\n\n

8.<\/strong> r = -3<\/p>\n\n\n\n

9.<\/strong><\/p>\n\n\n\n

\u0db8\u0dd4\u0dbd\u0dca \u0db4\u0daf\u0dba = 8<\/p>\n\n\n\n

\u0dc4\u0dad\u0dbb \u0dc0\u0db1 \u0db4\u0daf\u0dba = 216<\/p>\n\n\n\n

10. <\/strong>9 \u0d9c\u0dd4\u0dab\u0dba\u0d9a\u0dca<\/p>\n\n\n\n

<\/div>\n\n\n\n
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\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n

\u0d89\u0daf\u0dd2\u0dbb\u0dd2\u0dba\u0dda\u0daf\u0dd3 \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0d87\u0dad\u0dd4\u0dbd\u0dad\u0dca \u0dc0\u0db1\u0dca\u0db1\u0dda \u0db8\u0dd9\u0dad\u0db1\u0da7\u0dba\u0dd2.<\/p>\n\n\n\n

\n
\u0dad\u0dc0\u0dad\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/a><\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

\u0d9c\u0dd4\u0dab\u0ddd\u0dad\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2 \u0db4\u0dd2\u0dc5\u0dd2\u0db6\u0db3\u0dc0 \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad\u0dba \u0db4\u0dd0\u0dc4\u0dd0\u0daf\u0dd2\u0dc5\u0dd2 \u0d9a\u0dbb \u0d92 \u0db4\u0dd2\u0dc5\u0dd2\u0db6\u0db3\u0dc0 \u0d9c\u0dd0\u0da7\u0dbd\u0dd4 \u0dc0\u0dd2\u0dc3\u0db3\u0dd3\u0db8 \u0db8\u0dd9\u0db8 \u0d9a\u0ddc\u0da7\u0dc3\u0dda \u0daf\u0dd3 \u0dc3\u0dd2\u0daf\u0dd4\u0d9a\u0dd9\u0dbb\u0dda.<\/p>\n","protected":false},"author":21,"featured_media":11439,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3756,3787,3749,3623],"tags":[3646,3722,3687,3644,3688,2180,3643,3651,3649,3650,3724,3666,3721,3723,3665],"class_list":{"0":"post-10594","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-paper-1","8":"category-mathamatics","9":"category-algebra","10":"category-ordinary-level","11":"tag-ganithaya","12":"tag-geometric-series","13":"tag-mathamatics","14":"tag-maths","15":"tag-mathz","16":"tag-ol","17":"tag-ordinary-level","18":"tag-saamaanya-pela","19":"tag-saamanya-pela","20":"tag-samanya-pela","21":"tag-series","22":"tag-3666","23":"tag-3721","24":"tag-3723","25":"tag-3665"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/posts\/10594"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/comments?post=10594"}],"version-history":[{"count":9,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/posts\/10594\/revisions"}],"predecessor-version":[{"id":11743,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/posts\/10594\/revisions\/11743"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/media\/11439"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/media?parent=10594"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/categories?post=10594"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/ol\/wp-json\/wp\/v2\/tags?post=10594"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}