Question

For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.
Sequence: 0,100,200,300,…
Common difference: ?
An=-100+100n
explicit or recursive?
An=an-1+100
A1=0
Explicit or recursive?

Answer 1

The explicit form of the sequence is an = 100n - 100

What is Recursive functions?

Given the recursive functions as;

an = an−1+100

Sequence: 0,100,200,300,…

first term (a) = -0

Common difference of the A.P.

(d) = 100- 0 = 100

The explicit form of the sequence is

an = a + (n-1)d

an = 0 + (n-1)(100)

an = 0 + 100n -100

an = 100n - 100

Hence the explicit form of the sequence is an = 100n - 100

Learn more on sequence here:

brainly.com/question/6561461

#SPJ1