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banna01man
08.02.2021 •
Mathematics
7,21,63
what’s the common ratio, recursive function, explicit formula, and the 12 term
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Ответ:
See explanations below
Step-by-step explanation:
The given sequence 7,21,63... is geomertic in nature
The nth term is expressed as;
Tn = ar^n-1
a is the first term = 7
r is the common ratio = 21/7 = 63/21 = 3
n is the number of terms
Substitute
Tn = 7(3)^n-1
For the 12th term, when n = 12
T12 = 7(3)^12-1
T12 = 7(3)^11
T12 = 7(177,147)
T12 = 1,240,029
Hence the 12th terms is 1,240,029
For the recursive function
First term = 7(1)
2nd term T2 = 21 = 7(3)
3rd term T3 = 63 = 7(9) = 7(3^2)
Tn = 7(3^n)
Hence the recursive function is 7(3^n)
Ответ: