1.

If the first term of an infinite G.P. is 8 and its sum to infinity is 32/3 then find the common ratio.

Answer»

Here a = 8, S = 32/3 

a/(1 - r) = 32/3 

8/(1 - r) = 32/3

32 – 32 r = 24 ⇒ 32 r = 8 

r = 8/32 = 1/4 

Common ratio = 1/4



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