If Sn = n^2 + 2n, find AP
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Start with S1 = 1*(1+2) = 1*3 = 3. So the first term is 3.
Next, S2 = 2(2+2) = 2*4 = 8. This the sum of the first two terms. Since the first term is 3, the second term is 8–3 = 5.
Next, S3 = 3(3+2) = 3*5 = 15. This the sum of the first three terms. Since the sum of the first two terms is 8, the third term is 15–8 = 7.
Hence the first three terms are: 3, 5, and 7.
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