Q2 of 110 Page 58

Find the sum of the first 27 terms of the geometric series .


In the G.P.,

First term = 1/9


Common ratio = =


Sum of n terms =


⇒ Sum of 27 terms =


⇒ Sum of 27 terms =


More from this chapter

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20

A gardener plans to construct a trapezoidal shaped structure in his garden. The longer side of trapezoid needs to start with a row of 97 bricks. Each row must be decreased by 2 bricks on each end and the construction should stop at 25th row. How many bricks does he need to buy?

 1

Find the sum of the first 20 terms of the geometric series .

 3

Find Snfor each of the geometric series described below.

(i) a = 3, t8 = 384, n = 8. (ii) a = 5, r = 3, n = 12.


Ans. 765

 4

Find the sum of the following finite series

(i) 1 + 0.1 + 0.01 + 0.001 + … + ( 0.1)9 (ii) 1 + 11 + 111 + … to 20 terms.