awesome267
30.06.2019 •
Mathematics
Complete the resursive of the geometric sequence 10,6,3.6,2.16
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Ответ:
a(1) = 10
a(n) = a(n-1)·0.6
Ответ:
a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.
Step-by-step explanation:
First determine the common factor. Note that mult. the first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. And so on.
Thus, a(n) = (3/5)a(n-1). We can demo that this "works" for the fourth term:
the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.
Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).
This is good only for a(1) = 10 and n = {2, 3, }
Ответ:
A -a linear relationship showing as height increases, shoes size increases.
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