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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APHardLevel 64

If \(a_1=3\), \(a_{2n+1}=123\), and \(d=4\), what is the value of (n)?

Answer and explanation

Correct answer: (15)

From \(123=3+2n\cdot4\), \(120=8n\), so \(n=15\). In index (2n+1), subtract (1) to get the multiplier.

Tags

ap-index-variable-hard

Frequently asked questions

What is the correct answer to this question?

(15)

Why is this the correct answer?

From \(123=3+2n\cdot4\), \(120=8n\), so \(n=15\). In index (2n+1), subtract (1) to get the multiplier.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.

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