A sequence can be generated by using
an=an-1-5 where
a1 = 100 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

Respuesta :

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

Iterative rule for a sequence

Sequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;

an=an-1-5

If the first term a1 = 100, then;

a2 = a1 - 5
a2 = 100 - 5
a2 = 95

For the third term

a3= a2 - 5
a3= 95 - 5
a3 = 90

The other two terms will be 85 and 80

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

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