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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APHardLevel 66

If in an AP (a_{11}=57) and (a_{24}=148), what is the value of (a_{41})?

Answer and explanation

Correct answer: (267)

(d=\frac{148-57}{24-11}=7), so (a_{41}=148+17\times7=267). First find the common difference and move from the nearer term.

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ap nth term hard

Frequently asked questions

What is the correct answer to this question?

(267)

Why is this the correct answer?

(d=\frac{148-57}{24-11}=7), so (a_{41}=148+17\times7=267). First find the common difference and move 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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