For all integers n, the function f is defined by f(n) = a^n, where a is a constant. What is the value of f (1)?
(1) f (2) = 100
(2) f (3) = -1,000
(1) f (2) = 100
(2) f (3) = -1,000
f(1) = a^1 = adiehard_gmat wrote:For all integers n, the function f is defined by f(n) = a^n, where a is a constant. What is the value of f (1)?
(1) f (2) = 100
(2) f (3) = -1,000
Hence, we need to find the value of a.
Statement 1: f(2) = a^2 = 100 => a = ±10
Not sufficient
Statement 2: f(3) = a^3 = -1,000 => a = -10
Sufficient
The correct answer is B.
