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

In an AP, (a_4+a_{12}=64) and (a_8+a_{16}=112). What is (a_{20})?

Answer and explanation

Correct answer: (84)

The first sum gives (2a+14d=64) and the second gives (2a+22d=112). From (8d=48), (d=6) and (a_{20}=84).

Tags

ap-sum-of-terms-hard

Frequently asked questions

What is the correct answer to this question?

(84)

Why is this the correct answer?

The first sum gives (2a+14d=64) and the second gives (2a+22d=112). From (8d=48), (d=6) and (a_{20}=84).

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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