h(n) = -3 • 4^2n+1; Find h(2n)
To find h(2n), we need to substitute 2n into the expression for h(n) and simplify.
Given that h(n) = -3 • 4^(2n+1), we can substitute 2n in place of n:
h(2n) = -3 • 4^(2(2n)+1)
Now, let's simplify by performing the calculations within the parentheses:
h(2n) = -3 • 4^(4n+1)
Next, we can simplify the exponent:
h(2n) = -3 • 4 • 4^(4n)
Now, we can simplify further by multiplying -3 • 4:
h(2n) = -12 • 4^(4n)
Therefore, the expression for h(2n) is -12 • 4^(4n).
maybe you mean
h(n) = -3 • 4^(2n+1) ?????
h(2n) = -3 * 4 ^(2{2n] +1)
= -3 * 4^(4n+1)
or,
-3 * 4*4^(4n)
= -12 * 4^(4n)
= -12 * 256^n