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 For given arithemetic progression series 7,3,-1,-5,-9 ,... find 10 th term and addition of first 10 th terms. [ Calculator, Method and examples ]Solution:Your problem -> For given arithemetic progression series 7,3,-1,-5,-9 ,... find 10 th term and addition of first 10 th terms.Here first term a = 7,d = 3 - 7 = -4We know that, f(n) = a + (n - 1)df(10)=7 + (10 - 1)(-4)=7 + (-36)=-29We know that, S_n = n/2 [2a + (n - 1)d]:. S_10 = 10/2 * [2(7) + (10 - 1)(-4)]= 5 * [14 + (-36)]= 5 * [-22]= -110Hence, 10^(th) term of the given series is -29 and sum of first 10^(th) term is -110

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