Starting with n=0,
An = 10-2n
Bn = 9*(2/3)^n
Gn = 18(5-n)*(2/3)^n
By the ratio test, the series converges.
Sum = 162
Alpha writes the infinite arithmetic sequence 10, 8, 6, 4, 2, 0...
Beta writes the infinite geometric sequence 9, 6, 4, 8/3, 16/9,...
Gamma makes a sequence whose n^th term is the product of the n^th term of Alpha's sequence and the n^th term of Beta's sequence: 10*9,8*6,6*4,4*8/3,2*16/9,...
What is the sum of Gamma's entire sequence?
I know this is a really long question but I need help.
2 answers
I really don't know the answer?
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