Question

First term of a GP is 3 and last term is 48. If each other is double of the previous term then find the number of terms in the series and also sum of the series.​

Answer 1

Answer:

Number of terms = 5 and sum = 93

Step-by-step explanation:

We have

First term, a= 3

And last term, arn = 48 and common ratio, r = 2

Therefore, 3rn = 48

=> 2n = 16 = 24

=> n = 4

Hence, the number of terms = 4 + 1 = 5

Sum = a (rn - 1) / (r - 1) = 3(25 - 1) / (2 - 1) = 3*31 = 93