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a)We have the sequence as
5(1+.5+.5^2+.5^3+.5^4+.5^5)
Here the sequence is in geometric progression with common ratio =.5
The first term is 1
So
=155/16 (as a fraction)
b)The term here are can be found out by substituting the value of j=1,2,...9-4,-4^2,-4^3
So the sum =>-4+(-4)^2+(-4)^3+-------(-4)^9
So here the first term is -4 and total number of term =9
Common ratio,r=-4
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