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value: 2 what is the common ratio of the sequence? 1, 4, 16, 64, ... a.…

Question

value: 2
what is the common ratio of the sequence?
1, 4, 16, 64, ...
a. 3
b. 0.3
c. 1
d. 4

Explanation:

Step1: Define common ratio formula

Common ratio $r = \frac{a_n}{a_{n-1}}$

Step2: Calculate ratio of term2/term1

$r = \frac{4}{1} = 4$

Step3: Verify with term3/term2

$r = \frac{16}{4} = 4$

Step4: Verify with term4/term3

$r = \frac{64}{16} = 4$

Answer:

d. 4