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Mathematics

The sum of n terms of a G.P. with first term a and common ratio r, when r < 1, is :

  1. arn1r1\dfrac{ar^n-1}{r-1}

  2. 1arn1r\dfrac{1-ar^n}{1-r}

  3. a(rn1)r1\dfrac{a(r^n-1)}{r-1}

  4. a(1rn)1r\dfrac{a(1-r^n)}{1-r}

G.P.

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Answer

Formula for sum of n terms of a G.P.

For a geometric progression with first term = a and common ratio (r) < 1,

Sn=a(1rn)1rS_n = \dfrac{a(1-r^n)}{1-r}.

Hence, option 4 is the correct option.

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