{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}
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
