Question

The first term of an infinite G.P. is 1 and any term is equal to the sum of all the succeeding terms. Find

the series.​

Answer 1

Answer:

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Step-by-step explanation:

We know that in a Geometric Progression, there's a common ratio that forms the series.

Let's assume the common ratio be r.

Acc,to ques, first term = 1.

Then the series will be 1, r, r^2, r^3.....

Acc. to ques r^2  = r + 1.

or we can form a quadratic equ: r^2 - r - 1 = 0.

With the help of Sridhar acharya formula you'll get the vaue of r = (1 +- (5)^-2)/2

Accordingly, the fourth term will be cube of r. i.e. ((1 +- (5)^-2)/2)^3 = 4.236

Answer 2

Answer:

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