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

If in an AP (a_2=2x+1), (a_5=5x-2), and (a_8=8x-5), what is (a_{11})?

Answer and explanation

Correct answer: (11x-8)

The given terms are equally spaced, so (a_8-a_5=3x-3) is the equal group difference. (a_{11}=a_8+(3x-3)=11x-8).

Tags

ap-algebra-pattern-hard

Frequently asked questions

What is the correct answer to this question?

(11x-8)

Why is this the correct answer?

The given terms are equally spaced, so (a_8-a_5=3x-3) is the equal group difference. (a_{11}=a_8+(3x-3)=11x-8).

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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