Optimizing Partial Sums in an Arithmetic Sequence

00:00 4 marks

Given an arithmetic sequence with first term 5 and common difference 3, determine the largest integer value of \(n\) for which the sum of the first \(n\) terms does not exceed 200. Use the formula \(S_n = \frac{n}{2}(2a + (n-1)d)\).

Hint Hint

Hint

Set up the inequality using the sum formula and the given condition, then solve for \(n\).

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Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Examiner Tips Examiner Tips

Common Errors Common Errors

Focus Focus

Formula Booklet

Optimizing Partial Sums in an Arithmetic Sequence

Hint

Complete Answer

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Optimizing Partial Sums in an Arithmetic Sequence

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Complete Answer

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