What explicit expression can be used to find the next term in this sequence? 2,8,18,32,50,.... A. 2n B. 2n +6 C. 2n^2 D. 2n^2+ 1

Hi Grace.

2, 8, 18, 32, 50.

Your answer here is going to be C.) 2(n^2)

This will be proven by the sequence as follows:
2(1^2) = 2
2(2^2) = 2(4) = 8
2(3^2) = 2(9) = 18
2(4^2) = 2(16) = 32
2(5^2) = 2(25) = 50

As we can see, the rule applies correctly to our sequence.

I hope this helps!