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20. Geometric Progressions
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Q3 of 176 Page 20

Evaluate the following :

The given expression can also be written as


⇒ …(1)


⇒ [∵ ]


Now this term is in GP.


3, 9, 27…to 11 terms


∴ Common Ratio = r =


∴ Sum of GP for n terms = …(2)


⇒ a = 3, r = 3, n = 11


∴ Substituting the above values in (2) we get


⇒


⇒ 531438/2


⇒ 265719.


Now, Adding both these we will get the required solution.


∴ 22 + 265719


⇒ 265741


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Questions · 176
20. Geometric Progressions
1 2 3 3 3 3 3 3 4 5 6 6 6 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 1 1 1 1 2 3 4 5 6 7 8 8 8 8 9 10 11 12 13 1 2 3 4 5 6 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
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