Find the sum of first 17 terms in the following of the sequence
1, 4, 5, 9, 14, 23, 37 . . .
If the 17th term is 4,558 and the 18th term is 7,375 .
I know you can find all the terms from a1 to a17 and add them up, but can someone find a more simple way to get the answer.