How to Find the Nth Term in Algebraic

Use the position-to-term rule to work out the fifth term:

• 25

• 21

• 18

• 15

Find the 10th term of the sequence x, x+3, x+6, x+9, ...

Write an expression for the nth term. (Algebraic expression, use n as the variable)

2,7,12,17

Write an expression for the nth term

• 7n + 3

• 7n - 4

• 3n + 4

• 3n +7

What is the 27th term in this pattern?

• 76

• 81

• 82

• 90

The expression of a pattern is 5n - 2. What will the first 3 term values in the pattern be?

• 5, 7, 12

• 4, 9, 14

• 3, 8, 13

• 2, 7, 13

What is the 50th term in this pattern?

• 694

• 496

• 469

• 649

Find the nth term for the following pattern.

• 4 - 7n

• Start at -3 and add 4 each time

• 55

• 4n - 7

If the nth term of a number pattern is given by the algebraic expression: n² + 5, then find its first ten terms. Click on 'Yes' when it is completed.

• Yes

• No

Answer explanation

nth term = n² + 5 1st term = 1² + 5 = 1 × 1 + 5 = 1 + 5 = 6 2nd term = 2² + 5 = 2 × 2 + 5 = 4 + 5 = 9 3rd term = 3² + 5 = 3 × 3 + 5 = 9 + 5 = 14 4th term = 4² + 5 = 4 × 4 + 5 = 16 + 5 = 21 5th term = 5² + 5 = 5 × 5 + 5 = 25 + 5 = 30 6th term = 6² + 5 = 6 × 6 + 5 = 36 + 5 = 41 7th term = 7² + 5 = 7 × 7 + 5 = 49 + 5 = 54 8th term = 8² + 5 = 8 × 8 + 5 = 64 + 5 = 69 9th term = 9² + 5 = 9 × 9 + 5 = 81 + 5 = 86 10th term = 10² + 5 = 10 × 10 + 5 = 100 + 5 = 105

1, 4, 9, 16, 25, ... What will be the nth term in the above pattern?

• n

• 2n

• n/2

• n²

Answer explanation

If we observe the pattern carefully, then 1² = 1 = first term 2² = 4 = second term 3² = 9 = third term 4² = 16 = fourth term 5² = 25 = fifth term Therefore for nth term rule will be n²