Question

Find the sum of GP 1+√3+3+3√3+......to 10 terms

Answer 1

Answer:

Clearly the given series is a G.P. with common ratio r=

3

and first term a=1

S

n

be the sum of first n terms of G.P.

Formula for sum of n terms of G.P. is given by

S

n

=

r−1

a(r

n

−1)

n=12 ....... (given)

Then, S

12

=

3

−1

1×((

3

)

12

−1)

⇒S

12

=

3

−1

1×((3)

6

−1)

⇒S

12

=

2

(3

6

−1)(

3

+1)

⇒S

12

=364(

3

+1)

Step-by-step explanation:

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