GCSE Secondary Maths Age 13-17 - Algebra: Sequences - Explained

The video tutorial covers Question 24, focusing on sequences. Part A involves finding the next term in a given sequence by analyzing the differences between terms. The next term is calculated to be 72. Part B introduces a different sequence defined by the formula 3n squared minus 10, and the task is to find the fifth term. By substituting n=5 into the formula, the fifth term is calculated to be 65. Each part of the question is worth one mark.

What is the difference between the first and second terms of the sequence?

• 8

• 6

• 4

• 10

What pattern is observed in the differences between consecutive terms in the sequence?

• Add 3

• Add 2

• Add 4

• Add 5

What is the next term in the sequence after 50?

• 72

• 68

• 78

• 60

What is the formula for the n-th term of the different sequence discussed?

• 5n squared minus 20

• 2n squared minus 5

• 3n squared minus 10

• 4n squared minus 15

What is the value of the fifth term in the sequence defined by 3n squared minus 10?

• 70

• 55

• 60

• 65