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

If (a_9=42) and (a_{16}=77), what is (a_{23})?

Answer and explanation

Correct answer: (112)

(d=\frac{77-42}{7}=5) so (a_{23}=77+7\times5=112). Equally spaced terms have equal increases.

Tags

aptwo-known-termsnth-termclass10

Frequently asked questions

What is the correct answer to this question?

(112)

Why is this the correct answer?

(d=\frac{77-42}{7}=5) so (a_{23}=77+7\times5=112). Equally spaced terms have equal increases.

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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