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

1 Answer
tcw1
Nov 6, 2016

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#

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