Question 20 This question has two parts. First, answer Part A. Then, answer Part B. Part A STRUCTURE For each of the geometric sequences below, fill in the missing terms, write the corresponding exponential equation, and use the exponential equation to determine the 10th term in the sequence. a. 0.5, 6. 72 864 10368 f (x) = 0,5 12 10th term: 2579890176 Part B b. 10, 40, f®) = 10th term: O Need help with this question? Next Question Check Answer Done and Revlew
Question 20 This question has two parts. First, answer Part A. Then, answer Part B. Part A STRUCTURE For each of the geometric sequences below, fill in the missing terms, write the corresponding exponential equation, and use the exponential equation to determine the 10th term in the sequence. a. 0.5, 6. 72 864 10368 f (x) = 0,5 12 10th term: 2579890176 Part B b. 10, 40, f®) = 10th term: O Need help with this question? Next Question Check Answer Done and Revlew
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Question 20
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
STRUCTURE For each of the geometric sequences below, fill in the missing terms, write the corresponding exponential equation, and use the
exponential equation to determine the 10th term in the sequence.
a. 0.5, 6, 72
864
10368
x-1
局)
f (x) = 0.5
12
10th term: 2579890176
Part B
b.
10,
40,
f (x) =
10th term:
Need help with this questlon?
Next Question
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Expert Solution
Step 1
Solution ) in geometric sequence
Term is given by
an = a1rx -1
r = geometric ratio , a1 = first term
In part B
Second term is 10
n = 2
10 = a1r2-1
10 = a1r .......... (1)
4th term is 40
40 = a1r4 - 1
40 = a1r3 ..............(2)
equation (2) ÷ equation (1)
40/10 = a1r3 / a1r
4 = r2
[ r = 2 ]
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