nth term

Question 1

what is the definition of nth term

Answer 1

Position to terms rules use algebra to work out what number is in a sequence if the position in the sequence is known. This is also called the nth term, which is a position to term rule that works out a term at position , where means any position in the sequence.

Question 2

Here are the first five terms in a number sequence. 7 10 13 16 19
(a) Find the 10th term in this number sequence.
2.
A number sequence has nth term 6n + 3
(a) Write down the first four terms of this sequence.
(b) Write an expression, in terms of n, for the nth term of this number sequence.

Answer 2

a 34

b3n+4

Question 3

A sequence of numbers is shown below.
1 5 9 13 17 … …
(a) Find an expression for the nth term of the sequence.

Answer 3

a 4n-3

Question 4

The nth term of a number sequence is given by 5n + 2

(a) Work out the first three terms of the number sequence.

Answer 4

7,12,17

Question 5

Here are the first five terms of another number sequence. 5 11 17 23 29
(b) Find, in terms of n, an expression for the nth term of this sequence.

Answer 5

6n-1

Question 6

A sequence of numbers is shown.
2 9 16 23 30 … …
(a) Find an expression for the nth term of the sequence.
(b) Find the 100th term in the sequence.

Answer 6

a 7n-5

b 695

Question 7

The nth term of a number sequence is n2 + 3.

(a) Find the first three terms of this sequence.

Answer 7

a 4,7,12

Question 8

7.
The first 5 terms in a number sequence are
10 7 4 1 −2 … …
(a) Work out the nth term of the sequence.

Answer 8

13-3n