Question

find the sum of first 5 terms of g.p with first term '3' and Common ratio is 2​

Answer 1

Solution :

For the above mentioned gp, the first term is 3 and the common ratio is 2.

We have to find the sum of the first 5 terms.

For a gp having the first term as a and the common ratio as r

The sequence is :

> a, ar, ar², ar³, ...

We have to find the value of

> a + ar + ar² + ar³ + ar⁴

> a[ 1 + r + r² + r³ + r⁴ ]

> 3( 1 + 2 + 4 + 8 + 16)

> 3( 31)

> 93.

Answer : The sum of the first 5 terms of the gp is 93.

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Answer 2

Step-by-step explanation:

Solution :

For the above mentioned gp, the first term is 3 and the common ratio is 2.

We have to find the sum of the first 5 terms.

For a gp having the first term as a and the common ratio as r

The sequence is :

> a, ar, ar², ar³, ...

We have to find the value of

> a + ar + ar² + ar³ + ar⁴

> a[ 1 + r + r² + r³ + r⁴ ]

> 3( 1 + 2 + 4 + 8 + 16)

> 3( 31)

> 93.

Answer : The sum of the first 5 terms of the gp is 93.

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