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Answer:
Option (c)
Chuy will save more than he needs and will meet his goal in less than 27 week.
Step-by-step explanation:
Given that, Chuy wants to buy a new television. The television cost is $1,350.
He decides to save the same amount of money each week.
After 8 weeks he saved $440.
Each week he saved
=$ 55
If he saved $55 each week.
At the end of 27 week he will save = $(27×55)
=$1485
Therefore he will save $1485 at the end of 27th week.
The saved money is more than the cost price of the television.
Therefore Chuy will meet his goal in less than 27 weeks.
Assuming convergence of the sequence, we have for some limit
as
. This also means
. So in the above equation, we can substitute and solve for
:
The limit can only be one of these values; otherwise, the sequence would be divergent. To decide which one is correct, we can observe that the sequence is strictly positive. So .