math question about A.S.

2011-09-19 1:45 am

It is given that the general term of a sequence is Tn=2(n/4 + 1/6). Determine whether the sequence is an arithmetic sequence.

can anyone help me

回答 (1)

2011-09-19 1:53 am

✔ 最佳答案

T(n + 1) - T(n)

= 2[(n + 1)/4 + 1/6] - 2(n/4 + 1/6)

= 2[(n/4 + 1/4 + 1/6 - n/4 - 1/6)

= 1/2 (constant)

So, the sequence is an arithmetic sequence

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