Sequences and series

Question 1

what is a single term for an Arithmetic series

Answer 1

Question 2

what is the sum of n terms for an arithmetic series

Answer 2

Question 3

what is (a) in an arithmetic sequence

Answer 3

The first term in a sequence

Question 4

what is (d) in an arithmetic sequence

Answer 4

the common difference between each term

Question 5

what does n mean in an arithmetic series

Answer 5

n is the number of terms

Question 6

how do you work out (d) in an arithmetic sequence

Answer 6

second term - first term (a)

Question 7

What is a single term in a geometric sequence

Answer 7

Question 8

what is the sum of n terms in a geometric series

Answer 8

Question 9

what is the sum of infinite terms in a geometric series

Answer 9

Question 10

what does r mean in a geometric series

Answer 10

r = common ratio

Question 11

what does the sigma maths notation mean

Answer 11

Means add up

Question 12

How to solve a sigma notation question structured

Answer 12

Question 13

How do you solve a sigma notation with a very high top number

Answer 13

> do around 3-5 term starting with the bottom number of sigma
then do the final term
find the common difference
and use the sum of n terms for an arithmetic series

Question 14

How to solve recurrence relation

Answer 14

Question 15

Proof of the sum of geometric series

Answer 15

Question 16

Proof of sum for an arithmetic series

Answer 16