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Alika [10]
3 years ago
7

.Given the functions f(n) = 500 and g(n) = (nine tenths)n _ 1, combine them to create a geometric sequence, an, and solve for th

e 11th term.
an = 500 _ (nine tenths)n _ 1; a11 _499.651

an = 500 + (nine tenths)n _ 1; a11 500.349

an = 500(nine tenths)n _ 1; a11 174.339

an = (500 ´ nine tenths)n _ 1; a11 340.732
Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
It would be c hope this helps

weeeeeb [17]3 years ago
4 0
The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)

A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):

Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339

Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339

 
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