if a student is selected at random find the probability the student is a junior round to the nearest hole percent
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The sequence is converges and the limit is
Step-by-step explanation:
In the geometric sequence
- The sequence is converges if IrI < 1, where r is the constant ratio between each two consecutive terms
- The sequence is diverges if IrI > 1
IrI < 1 means → -1 < r < 1
IrI > 1 means → r < -1 and r > 1
∵ The sequence is 60 , -10 , ,
, .....
∵ , where
is the first term and
is the second term
∵ = 60
∵ = -10
∴ =
∴ The constant ratio is
∵ -1 < < 1
∴ I I < 1
∴ The sequence is converges
∵ The limit is the sum to infinity
∵
∵ a = 60 and r =
- Substitute these values in the rule above
∴
∴
The sequence is converges and the limit is
Learn more:
You can learn more about sequences in brainly.com/question/7221312
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