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mash [69]
3 years ago
12

WILL GIVE BRAINLIEST The sequence 7 21 63 189......shows the number of jumping jacks justin did each week, starting with the fir

st week of him working out.
A. is the sequence arithmetic or geometric? how do you know?
B. What is the recursive rule for the sequence?
C. what is the iterative (explicit) rule for the sequence.
Mathematics
1 answer:
vovangra [49]3 years ago
3 0

A

this is a geometric sequence since there exists a common ratio r between the terms

r = \frac{21}{7} = \frac{63}{21} = \frac{189}{63} = 3

B

to obtain the next term in the sequence multiply the previous term by 3

a_{n+1} = 3 a_{n} ← recursive rule

C

the n th term of a geometric sequence is

a_{n} = a_{1} r^{n-1}

where a_{1} is the first term in the sequence

a_{n} = 7 × 3^{n-1} ← explicit rule


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