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?

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To find the number of terms in an arithmetic progression (AP), you need to know the first term (A), the last term (37A), and the common difference (4A).

The formula to find the number of terms in an AP is given by:

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

Using the given values, plug them into the formula:

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

Simplify the expression:

n = 36A / 4A + 1

n = 9 + 1

n = 10

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

37A-A = 36A

36A/4A = 9

36A is the 10th term.