Q5 of 104 Page 488

Find the sum of each of the following infinite series :

∞


This geometric series is the sum of two geometric series:



Sum of geometric series:
Here, a




Sum of geometric series:
Here, a




∴Sum of the given infinite series=sum of both the series



Sum


More from this chapter

All 104 →
3

Find the sum of each of the following infinite series :

∞


 4

Find the sum of each of the following infinite series :

10 – 9 + 8.1 - ……∞


 6

Prove that 91/3 × 91/9 × 91/27 × …..∞ = 3

 7

Find the rational number whose decimal expansion is given below :

(i) (ii)


(iii)