activity showing the sum of n terms of an arithmetic progression
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Thus nth term of an AP series is Tn = a + (n - 1) d, where Tn = nth term and a = first term. ... Here d = common difference = Tn - Tn-1. Sum of first n terms of an AP: S =(n/2)[2a + (n- 1)d] The sum of n terms is also equal to the formula where l is the last term.
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The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
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