f(1)=72 f(n)=f(n−1)+9 Find an explicit formula for f(n)
1 answer:
= 9n + 63
generate the first few terms using the recursive equation
f(1) = 72
f(2) = 72 + 9 = 81
f(3) = 81 + 9 = 90
f(4) = 90 + 9 = 99
the sequence is 72, 81, 90, 99, .....
This is an arithmetic sequence whose n th term formula is
=
+ (n - 1 )d
where is the first term and d the common difference
d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and = 72
= 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula
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Step-by-step explanation:
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a)
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Hello!
As we can see, our a value, which would be the coefficient of , which determines our slope, is negative, meaning that this whole line is negative.
Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.
If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.