Q2 D of 104 Page 457

Find the sum of the GP :

x3 + x5 + x7 + …. To n terms


Sum of a G.P. series is represented by the formula, , when r≠1. ‘Sn’ represents the sum of the G.P. series upto nth terms, ‘a’ represents the first term, ‘r’ represents the common ratio and ‘n’ represents the number of terms.


Here,


a = x3


r = (ratio between the n term and n-1 term)


n terms


∴


⇒


More from this chapter

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2 B

Find the sum of the GP :

… to n terms


 2 C

Find the sum of the GP :

1 – a + a2 – a3 + …to n terms ( a ≠ 1)


 2 E

Find the sum of the GP :

x(x + y) + x2(x2 + y2) + x3(x3 + y3) + …. To n terms


 3

Find the sum to n terms of the sequence :

(i) ,….. to n terms


(ii) (x + y), 9x2 + xy + y2), (x3 + x2y + xy2 + y3), …. to n terms