Write a recursive formula for the sequence 7, 13, 19, 25, 31 then find the next term in the sequence? 13-7=6
19-13=6
hence x+6
hence 31+6

F(1) = 7
f(2) = 7 + 6 = 13

Recursive formula => f(n + 1) = f(n) + 6

Next term = 31 + 6 = 37.

The recursive formula for the given sequence above which is 7, 13, 19, 25, and 31 and the next term in the sequence is this: an = an – 1 + 6, where a1 = 7; 37
Here is the solution:

f(1) = 7
f(2) = 7 + 6 = 13

The recursive formula would be: f(n + 1) = f(n) + 6

And the next term is = 31 + 6 = 37. 
Hope this helps you!

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