Question

What is the number of terms of a geometric progression having first term 3 last term 96 and sum of the terms is 189

Answer 1

Answer:

Step-by-step explanation:

an = a1rn-1, where a1 = first term, r = common ration, n = number of terms

 

192 = 3rn-1

64 = rn-1                 26 = 64

26 = rn-1

6 = n - 1

7 = n

 

The common ratio is 2 and the number of terms is 7.

 

3, 6, 12, 24, 48, 96, 192