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

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The sum of the first (n) terms of the arithmetic progression (2,8,14,\ldots) equals (12) times the (n)th term. What is (n)?

Answer and explanation

Correct answer: (23)

The equation (\frac{n}{2}[4+6(n-1)]=12[2+6(n-1)]) gives (n=23). Exam tip: write (S_n) and (t_n) separately.

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Ap Sum-Nth-Term-Relation Expert 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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