High School

The first and last terms of an arithmetic progression (AP) are 1 and 121. Find the number of terms in the AP.

Answer :

Final answer:

To find the number of terms in the arithmetic progression (AP) with the first term of 1 and the last term of 121, we can use the formula number of terms = (last term - first term) / common difference + 1. The common difference is found by subtracting the first term from the last term, which in this case is 120. Plugging these values into the formula, we find that the number of terms in the AP is 2.

Explanation:

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 1, the last term is 121, and the common difference is unknown. So we first need to find the common difference by subtracting the first term from the last term: 121 - 1 = 120. Now we can plug these values into the formula: number of terms = (121 - 1) / 120 + 1 = 2. Therefore, the number of terms in the AP is 2.

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