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Class 10 Mathematics Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APHard

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If in an AP (S_{18}=1017) and the (18)th term is (99), find (S_{36}).

Answer and explanation

Correct answer: (3654)

From (S_{18}=9(a+99)), (a=14), then (d=5) and (S_{36}=3654). Treat the given (n)th term as the last term.

Related tags

Given Term And Sum Find Sn Ap Finding The Sum Of The First $N$ Terms Of An Ap Finding The Sum Of The First N Terms Of An Ap Arithmetic Progressions (Ap)Arithmetic Progressions Ap Mathematics

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