For the geometric sequence, the common ratio is 2 and the 12th term is a12 =6144. What is the first term? A. a1=2

B. a1=3

C. a1=4

D. a1=5

B. a1 = 3

Step-by-step explanation:

Since we have the comon ratio and 12th term, we could just divide the 12th term (6144) by 2 11 times until we get to the 1st term:

For a better understanding of the question, let's use the formula for geometric equations:

a(r)^(n-1)

1. Let's plug in the values we know

a(2)^(12-1)

2. Set equation equal to 6144 (Since we use n = 12) and solve for a

To confirm this, let's use the formula for geometric equations again:

a(r)^(n-1)

a = first term = 3

r = common ratio = 2

3(2)^(12-1) = 6144

Therefore, a1 = 3

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