Question

7th term of an arithmetic sequence is 17 and 17th term is 7 .what is its 24th term

Answer 1

0

Explanation:

`n_(7)`=17 and
`n_(17)`=7

difference between the terms are 10,

so
`n_(7)`+10d=
`n_(17)`

17+10d=7

10d=7-17

10d=-10

d=-1

so for the next term in the sequence, add -1 to the previous one.

17th term is 7, 18th term will be 6, 19th will be 5.......

24th term will be 0