Question

Find the number of terms in an AP given that its first and last terms are 'a' and '37a' respectively and that its common difference is '4a'. Which of the following options represents the number of terms in the AP?

A) 6
B) 7
C) 8
D) 9

Answer 1

The number of terms in the arithmetic progression is 9. So, the correct answer is D.

Step-by-step explanation:

To find the number of terms in an arithmetic progression (AP), we can use the formula:

n = (last term - first term) / common difference + 1

Here, the first term is 'a', the last term is '37a', and the common difference is '4a'. Substituting these values into the formula, we get:

n = (37a - a) / 4a + 1

This simplifies to:

n = 36 / 4 + 1

n = 9

Therefore, the number of terms in the AP is 9. So, the correct answer is D.