Question

An infinite G.P. has its first term as x and sum as 5. Then what is the range of x?

Answer 1

Step-by-step explanation:

S∞ = a/ (1-r), if |r| < 1

     = ∞,            if |r| ≥ 1

Hence, S∞ = x/(1-r) = 5

Or 1-r = x/5

Hence, r = (5-x)/5 exists only when |r| < 1

Hence, -1 < (5-x)/5 <1

-10 < -x < 0

So this gives 0 < x < 10.

Hope it helps.......

Answer 2

Answer:

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