Question

The sequence with `n`th term `2n^2+3n+c` has second term `19`. What is the value of `c`?

Answer 1

5

Explanation:

In sequences, the second term means that n=2, and we know the value of this expression when n=2 is 19. Setting up an equation gives
`2(2)^2 +3(2) +c =19`
Solving for c:
`2(4) + 6 + c =19`
`14 +c = 19`
`c=5`