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If the first term of an arithmetic progression is (7) and the common difference is (2), what is the second term?

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Answer and explanation

Correct answer: 9

In an arithmetic progression, the next term is found by adding the common difference to the preceding term. Thus, second term = first term + common difference = 7 + 2 = 9. Option 8 would result from adding 1, not the given common difference 2. Exam tip: use the formula \(a_2=a_1+d\) for the second term.

Related tags

Arithmetic ProgressionsFirst TermCommon DifferenceSecond Term

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

In an arithmetic progression, the next term is found by adding the common difference to the preceding term. Thus, second term = first term + common difference = 7 + 2 = 9. Option 8 would result from adding 1, not the given common difference 2. Exam tip: use the formula \(a_2=a_1+d\) for the second term.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..

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