37.2k views
2 votes
Find an explicit formula for the arithmetic sequence -5,13,31,49,

1 Answer

5 votes
The common difference dividing each term from the next is 18.

Then a(n) = -5 + (n-1)(18)

Check: find a(1) using this formula. Is a(1) = -5? a(1) = -5 + (1-1)(18) does equal -5.

Find a(2); a(2) = -5 + (2-1)(18) = -5 + 18 = 13. Correct.
User Tmikeschu
by
8.6k points

No related questions found