1. The first and last terms of an arithmetic progression are 37 and -18. If the sum of the series is 114, then it has how many terms?
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By: anil on 05 May 2019 02.11 am
In an arithmetic progression with first term, $$a = 37$$ , last term, $$l = -18$$ Let number of terms = $$n$$ $$ herefore$$ Sum of A.P. = $$frac{n}{2} (a + l) = 114$$
=> $$frac{n}{2} (37 - 18) = 114$$ => $$19n = 114 imes 2 = 228$$ => $$n = frac{228}{19} = 12$$ => Ans - (B)
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=> $$frac{n}{2} (37 - 18) = 114$$ => $$19n = 114 imes 2 = 228$$ => $$n = frac{228}{19} = 12$$ => Ans - (B)