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

If (a_7=29) and (a_{14}=64), what is the value of (a_{21})?

Answer and explanation

Correct answer: (99)

(d=\frac{64-29}{14-7}=5), hence (a_{21}=64+7\times5=99). Equal position gap (7) gives term gap (35).

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aptwo-termsnth-termclass10

Frequently asked questions

What is the correct answer to this question?

(99)

Why is this the correct answer?

(d=\frac{64-29}{14-7}=5), hence (a_{21}=64+7\times5=99). Equal position gap (7) gives term gap (35).

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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