Question

Find the number of terms in an AP given that its first and Second terms are a and 37a respectively, and that the Common difference is 4a​

Answer 1

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

Number of terms = (Last term - First term) / Common difference + 1

In this case, the first term is 'a', the second term is '37a', and the common difference is '4a'.

Let's calculate the number of terms:

Number of terms = (37a - a) / 4a + 1
= 36a / 4a + 1
= 9 + 1
= 10

Therefore, the number of terms in the arithmetic progression is 10.