Question

2. The number of terms of a GP is even. If the sum of all terms is 5 times the sum of its odd terms, then its common ratio is ​

Answer 1

Step-by-step explanation:

If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio. Let a is the first term of GP and r is the common ratio and there are 2n terms in GP. It is another GP with first term a and common ratio r2 with n terms. So, common ratio of given GP is 4.