For the geometric sequence, the common ratio is 2 and the 12th term is a12 =6144. What is the first term?
1 answer:
Answer:
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
- r = common ratio = 2
- n = 12
a(2)^(12-1)
2. Set equation equal to 6144 (Since we use n = 12) and solve for a
- a = 6144/ (2^11)
- a = 3
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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Answer:
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Step-by-step explanation:
The hourly pay, in dollars, in t years after 1995, is given by the following equation:
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