How do you find the next four terms of the arithmetic sequence 31, 24, 17, ...?

Question

4601 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-07T14:55:11

The reqd. next four terms are,

#T_4=10, and, T_5=3, T_6=-4, T_7=-11#.

We find that, for the given Arithmetic Sequence (A.S.),

The First Term #=a=31,# &, the Common Difference

#d=24-31=17-24=...=-7#.

Now, we know that, for such an A.S., #T_n=a+d(n-1)#

#:. T_n=31-7(n-1)=38-7n#.

Hence, the reqd. next four terms are,

#T_4=38-7(4)=10," &, similarly, "T_5=3, T_6=-4, T_7=-11#.