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2. A sequence can be generated by using , where and n is a whole number greater than 1.
(a) What are the first five terms in the sequence?
(b) Write an iterative rule for the sequence. Show your work.


Sagot :

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A sequence can be generated by using an = a(n-1) - 5, where a1 = 100 and n is a whole number greater than 1.

a1 = 100 (given)

a2 = a1 - 5 = 100 - 5 = 95

a3 = a2 - 5 = 95 - 5 = 90

a4 = a3 - 5  = 90 - 5 = 85

a5 = a4 - 5 = 85 - 5 = 80

ANSWER for PART (a): 100, 95, 90, 85, 80

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an = a1 + d(n - 1)

  • a1 = 100
  • d is -5 (common difference, and we know it is -5)

an = 100 + -5(n - 1)

an = 100 + -5n + 5

an = 105 - 5n

ANSWER for PART (b): an = 105 - 5n

Answer:

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