## What is the value of…

## Solution:

We need to determine the value of integer n.

**Statement One Alone: **

n(n+1) = 6

Let’s solve the equation:

n(n+1) = 6

n^2 + n = 6

n^2 + n – 6 = 0

(n+3)(n-2) = 0

n = -3 or n =2

Since we have two values for n, statement one alone is not sufficient. We can eliminate answer choices A and D.

**Statement Two Alone: **

2^(2n) = 16

We express 16 as a power of 2, and then we equate the exponents; we can then determine a value for n.

2^(2n) = 2^4

2n = 4

n = 2

Statement two is sufficient to answer the question.

**Answer: B**