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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APHardLevel 65

If in an AP (a_9=44) and (a_{21}=116), what is the value of (a_{38})?

Answer and explanation

Correct answer: (218)

(d=\frac{116-44}{21-9}=6), so (a_{38}=116+17\times6=218). First find (d), then move forward from the nearer term.

Tags

ap-nth-term-hard

Frequently asked questions

What is the correct answer to this question?

(218)

Why is this the correct answer?

(d=\frac{116-44}{21-9}=6), so (a_{38}=116+17\times6=218). First find (d), then move forward from the nearer term.

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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