Question

It is given that 13, 17, 21, 25,... is an arithmetic sequence

Find the general term Tn of the sequence.

Find the 10th term of the sequence.

Collected in the board: Arithmetic sequence

Steven Zheng posted 2 months ago


Answer

17-13=4

21-17=4

So the series is an arithmetic sequence with common difference 4, a_1=13

The general term for the sequence is

T_n=a_1+(n-1)d=13+4(n-1)

=4n+7

When n=10,

T_{10}=4\times 10+7= 21

Steven Zheng posted 1 month ago

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