sequences

Question 1

Arithmetic sequence formula for calculating a term

Answer 1

Un= a + (n-1)d

a = first term
d= difference

Question 2

geometric sequence formula for calculating a term

Answer 2

Un= ar^n-1

Question 3

How to prove a sequence is increasing

Answer 3

U(n+1) - Un > 0

Or Un+1 >Un

Question 4

S∞ is known as the sum to infinity
If |r| ≥ 1 the geometric series is ……… and the sum to infinity does not exist

Answer 4

divergent

Question 5

A sequence is periodic if the terms ……. in a cycle
The ……. (or period) of a periodic sequence is the number of terms in each repeating cycle

Answer 5

repeat

order