1.

If the common ratio of a G.P. is 2/3 and the sum to infinity is 12, find the first term.

Answer»

r = \(\frac23,\) sum to infinity = 12....[Given]

Sum to infinity = \(\frac{a}{1-r}\) 

12 = \(\cfrac{a}{1-\frac23}\) 

a = 12 x \(\frac13\) 

\(\therefore\) a = 4



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