3, 8, 17, 30, 47
Find an expression, in terms of n, for the nth term of this sequence.

=2-n+2

Step-by-step explanation:

{}: 3, 8, 17, 30, 47

{}: 5, 9, 13, 17 (differences of the terms in ) ∴=4n+1

When n≥2, =+∑ (with n-1 at the top and k=1 at the bottom)

=3+∑(4k+1) (with n-1 at the top and k=1 at the bottom) = 3+2n(n-1)+n-1

   = 2-n+2

This stays true when n=1.

Hope this helps!

answer: no, but if it does it's a obvious pattern.

step-by-step explanation: