Find the (9)th term of the AP (\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots).

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Answer and explanation

Correct answer: (\frac{21}{4})

Here (d=\frac{1}{2}), so (a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}). Use the fractional difference carefully.

What is the correct answer to this question?

(\frac{21}{4})

Why is this the correct answer?

Here (d=\frac{1}{2}), so (a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}). Use the fractional difference carefully.

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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