The nth term

Here are the first five terms of a quadratic sequence. 3 20 47 84 131

Find an expression, in terms of n, for the nth term of this sequence.

The terms of a different sequence are given by the rule u_{n+ 1} = ku_n + k where k is a constant. Given that u₁ = 9 and u₂ = 4

find the value of u₄

Here are the first four terms of an arithmetic sequence. 1 5 9 13 Find an expression, in terms of n, for the nth term of this sequence.

Here are the first four terms of an arithmetic sequence. 1 5 9 13 Find an expression, in terms of n, for the nth term of this sequence.

Here are the first six terms of a quadratic sequence. 5 11 21 35 53 75 Find an expression, in terms of n, for the nth term of this sequence.

Here are the first five terms of an arithmetic sequence. –5 3 11 19 27 Find an expression, in terms of n, for the nth term of this sequence.

Here are the first four terms of a quadratic sequence. 3 9 17 27 Find an expression, in terms of n, for the nth term of this sequence.

Here are the first five terms of an arithmetic sequence. 7 13 19 25 31

Find an expression, in terms of n, for the nth term of this sequence.

The nth term of a different sequence is 8 − 6n

Is −58 a term of this sequence? You must show how you get your answer.

Here are the first five terms of an arithmetic sequence. 7 13 19 25 31

Find an expression, in terms of n, for the nth term of this sequence.

The nth term of a different sequence is 8 − 6n

Is −58 a term of this sequence? You must show how you get your answer.

The first five terms of an arithmetic sequence are 1 4 7 10 13 Write down an expression, in terms of n, for the nth term of this sequence.

The first five terms of an arithmetic sequence are 1 4 7 10 13 Write down an expression, in terms of n, for the nth term of this sequence.

Here are the first five terms of a quadratic sequence. 10 21 38 61 90 Find an expression, in terms of n, for the nth term of this sequence.

Here are the first five terms of a sequence.

Find an expression, in terms of n, for the n th term of this sequence.

Here are the first six terms of a quadratic sequence.

Find an expression, in terms of n, for the n th term of this sequence.

Here are the first four terms of an arithmetic sequence.

5 11 17 23

Write down an expression, in terms of n, for the n th term of the sequence.

The nth term of a sequence is given by an² + bn where a and b are integers.

The 2nd term of the sequence is –2 The 4th term of the sequence is 12

Find the 6th term of the sequence.

Here are the first five terms of a different quadratic sequence.

0 2 6 12 20

Find an expression, in terms of n, for the n th term of this sequence.

Here is a sequence of patterns made with counters.

pattern number 1 pattern number 2
pattern number 3

Find an expression, in terms of n, for the number of counters in pattern number n.

Bayo has 90 counters.

Can Bayo make a pattern in this sequence using all 90 of his counters? You must show how you get your answer.

Here are the first five terms of a sequence.

4 11 22 37 56

Find an expression, in terms of n, for the n th term of this sequence.