What is the (40)th term of the AP (\frac{1}{2},1,\frac{3}{2},\ldots)?

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Answer and explanation

Correct answer: (20)

Here (a=\frac{1}{2}), (d=\frac{1}{2}), so (a_{40}=\frac{1}{2}+39\cdot\frac{1}{2}=20). Fractions can also be checked as decimals.

What is the correct answer to this question?

(20)

Why is this the correct answer?

Here (a=\frac{1}{2}), (d=\frac{1}{2}), so (a_{40}=\frac{1}{2}+39\cdot\frac{1}{2}=20). Fractions can also be checked as decimals.

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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