Explain the rule for finding the next term in the sequence.

Question

Find the next three terms in the sequence

a) 4,7,10,13

(Show with working)

Use formula- a1+(n-1)d

Answer 1

a) The rule for finding the next term in this sequence is to add 3 to the previous term.

Using the formula a1+(n-1)d, where a1 is the first term, d is the common difference, and n is the term number, we can calculate the next three terms:

- The fourth term is a1 + (4-1)d = 4 + 3(3) = 13.
- The fifth term is a1 + (5-1)d = 4 + 4(3) = 16.
- The sixth term is a1 + (6-1)d = 4 + 5(3) = 19.

Therefore, the next three terms in the sequence are 13, 16, 19.