Question

If the common ratio of a g.p. is 2/3 and sum to infinity is 12.find first term

Answer 1

Answer:

First term=4

The solution is given in the above attachment.

Answer 2

Answer:

4

Step-by-step explanation:

The sum of an infinite G.P. series is given by the equation, S=$\frac{a}{1-r}$ ........ (1) {Where r<1}

{Where a is the first term and r is the common ratio of the given G.P.}

Now, given that the common ratio(r) of the said G.P. is 2/3 and the sum(S) to infinity is 12, then we have to calculate the first term a.

Hence, from the equation (1), 12=$\frac{a}{1-\frac{2}{3} }$

⇒12 =3a

⇒ a= 4.(Answer)