Determine the first five terms of the geometric sequence.
-a1 = 6, r = -4
A)6, 2, -2, -6, -10
B)6, -24, 96, -384, 1536
C)6, 24, 96, -384, 1536
D)-4, -24, 96, -384, 1536

Question

Quizplus · Accepted Answer

The formula for the nth term of a geometric sequence is: an = a1 * r^(n-1)

Using the given values, we have:
a1 = 6
r = -4

The first five terms can be found by plugging in n = 1, 2, 3, 4, 5
a1 = 6
a2 = 6*(-4)^1 = -24
a3 = 6*(-4)^2 = 96
a4 = 6*(-4)^3 = -384
a5 = 6*(-4)^4 = 1536

Therefore, the first five terms are: 
6, -24, 96, -384, 1536, which is choice B. The formula for finding the nth term of a geometric sequence is:

an = a1 * r^(n-1)

Substituting a1 = 6 and r = -4:

a2 = 6 * (-4)^(2-1) = -24
a3 = 6 * (-4)^(3-1) = 96
a4 = 6 * (-4)^(4-1) = -384
a5 = 6 * (-4)^(5-1) = 1536

Therefore, the first five terms of the sequence are 6, -24, 96, -384, 1536, which is choice B.

Determine the First Five Terms of the Geometric Sequence