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If the first term of an Ap is equal to one half of the common difference,find the 8th term of the AP

a1 = d / 2

a8 = a1 + 7 d

a8 = d / 2 + 7 d

a8 = d / 2 + 14 / 2 d

a8 = 15 / 2 d

Did you know?

Did you know that in an arithmetic progression (AP), if the first term is equal to one half of the common difference, you can find the 8th term using a simple formula? The formula to find the nth term of an AP is given by: nth term = first term + (n - 1) * common difference. In this case, since the first term is equal to half of the common difference, we can substitute half of the common difference for the first term in the formula. Let's say the common difference is 'd'. So, the first term would be 'd/2'. Now, substituting these values in the formula, we get: 8th term = (d/2) + (8 - 1) * d = d/2 + 7d = 8d/2 + 7d = 15d/2. Therefore, the 8th term of the arithmetic progression (AP) is equal to 15d/2.