Which is the (n)th term of the sequence (-2,4,-6,8,-10,\ldots)?

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Answer and explanation

Correct answer: (2(-1)^n n)

For odd (n), terms are negative and for even (n), terms are positive, so (a_n=2(-1)^n n). In alternating signs, test first at (n=1).

What is the correct answer to this question?

(2(-1)^n n)

Why is this the correct answer?

For odd (n), terms are negative and for even (n), terms are positive, so (a_n=2(-1)^n n). In alternating signs, test first at (n=1).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.

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