Q10 of 176 Page 21

If , then write b in terms of a given that .

Given:


a = 1+b+b2+b3+… to infinity


It is an infinite GP with first term as 1 and common ratio b.


Sum of infinite terms is given by


⇒


⇒


⇒ a-ab=b


⇒ b+ab =a


⇒ b(1+a) = a


⇒


More from this chapter

All 176 →
8

Write the quadratic equation the arithmetic and geometric means of whose roots are A and G respectively.

 9

Write the product of n geometric means between two number a and b

 1

Mark the correct alternative in each of the following:

If in an infinite G.P., first term is equal to 10 times the sum of all successive terms, then its common ratio is


 2

Mark the correct alternative in each of the following:

If the first term of a G.P. is unity such that is least, then the common ratio of G.P. is