Question

the first term of a geometric sequence is 2, and the 4th term is 250. find the 2 terms between the first and the 4th term

Answer 1

Explanation:

We know that the for geometric sequence the terms are
`a,ar^2,ar^3,...` , where a is the first term and r is the terms of common differences.Here the first term is a=2 and fourth term is 250. So the equation is :
`ar^3=250\implies2r^3=250\implies r^3=125\implies r=5`

So we came to know that common difference is 5. Hence the two terms between first and 4 th term is 10 and 50.

Final Answer: Two terms are 10 and 50.