Sequences Practice Questions

Work out the 4th term of this sequence.

Work out the 5th term of this sequence.

Write down the first three terms of this sequence.

Work out the 10th term of this sequence.

Here are the first four triangular numbers.

$1\qquad 3\qquad 6\qquad 10$

Write down the 5th and the 6th triangular numbers.

Here is a list of numbers.

$4\qquad 8\qquad 12\qquad 15\qquad 27\qquad 30$

(i) Write down a number from the list that is a square number.

(ii) Write down a number from the list that is a cube number.

Write down the next two terms of this sequence.

Describe the rule you used to continue the sequence.

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

Work out the 40th term of this sequence.

Show that $90$ is not a term of this sequence.

Work out the missing 2nd term of the sequence.

Work out the 6th term of the sequence.

How many chairs are needed for pattern number 5?

Find an expression, in terms of $n$, for the number of chairs needed for pattern number $n$.

A hall is set out using one pattern from this sequence. There are 30 chairs altogether.

Work out how many tables are used.

Write down the rule for continuing this sequence.

Work out the 5th term of this sequence.

Which is the first term in this sequence that is greater than $10\,000$?

Write down the first three terms of this sequence.

Ben says,

"Every term of this sequence is an odd number."

Is Ben right?
You must give a reason for your answer.

Work out the largest term of this sequence that is less than $100$.

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

How many matchsticks are needed to make pattern number 40?

Rosa says,

"Every pattern in this sequence is made from an odd number of matchsticks."

Is Rosa right?
You must give reasons for your answer.