Concept explainers
A fish farmer has 5000 catfish in his pond. The number of catfish increases by 8% per month and the farmer harvests 300 catfish per month.
- (a) Show that the catfish population Pn after n months is given recursively by
- (a) How many catfish are in the pond after six months?
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EBK SINGLE VARIABLE CALCULUS: EARLY TRA
- Follow these steps to evaluate a sequence defined recursively using a graphing calculator: • On the home screen, key in the value for the initial term a1 and press [ENTER]. • Enter the recursive formula by keying in all numerical values given in the formula, along with the key strokes [2ND] ASS for the previous term an1 .. Press [ENTER]. • Continue pressing [ENTER] to calculate the values for each successive term. For the following exercises, use the steps above to find the indicated term or terms for the sequence. 58. Find the 15th term of the sequence a1=625,an=0.8an1+18arrow_forwardFollow these steps to evaluate a sequence defined recursively using a graphing calculator: • On the home screen, key in the value for the initial term a1 and press [ENTER]. • Enter the recursive formula by keying in all numerical values given in the formula, along with the key strokes [2ND]ASS for the previous term an1 .. Press [ENTER]. • Continue pressing [ENTER] to calculate the values for each successive term. For the following exercises, use the steps above to find the indicated term or terms for the sequence. 57. Find the first terms of the sequence a1=87111 , an=43an1+1237 . Use the > Frac feature to give fractional results.arrow_forwardFollow these steps to evaluate a sequence defined recursively using a graphing calculator: • On the home screen, key in the value for the initial term a1 and press [ENTER]. • Enter the recursive formula by keying in all numerical values given in the formula, along with the key strokes [2ND] ASS for the previous term an1 .. Press [ENTER]. • Continue pressing [ENTER] to calculate the values for each successive term. For the following exercises, use the steps above to find the indicated term or terms for the sequence. 61. Find the tenth term of the sequence a1=2,an=nan1arrow_forward
- Follow these steps to evaluate a sequence defined recursively using a graphing calculator: •On the home screen, key in the value for the initial term a1 and press [ENTER]. • Enter the recursive formula by keying in all numerical values given in the formula, along with the key strokes [2ND] ASS for the previous term an1 .. Press [ENTER]. • Continue pressing [ENTER] to calculate the values for each successive term. For the following exercises, use the steps above to find the indicated term or terms for the sequence. 60. Find the first ten terms of the sequence a1=8,an=(an1+1)!an1!arrow_forwardFollow these steps to evaluate a sequence defined recursively using a graphing calculator: • On the home screen, key in the value for the initial term a1 and press [ENTER]. • Enter the recursive formula by keying in all numerical values given in the formula, along with the key strokes [2ND] ASS for the previous term an1 .. Press [ENTER]. • Continue pressing [ENTER] to calculate the values for each successive term. For the following exercises, use the steps above to find the indicated term or terms for the sequence. 59. Find the first five terms of the sequence a1=2,an=2[(an1)1]+1arrow_forwardFind the seventh term of (x212)13 “without fully expanding the binomial.arrow_forward
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