Sequences -nth term, common difference, examples and worksheet

Section A: Step 1: Find the term-by-term difference.
For the sequence 7, 10, 13, 16, 19, … the term-by-term difference is 3.
Step 2: Use the term-by-term difference to make an estimate for the nth term.
If the nth term was 𝟑𝟑𝟑 then the sequence would be 3, 6, 9, 12, 15, …
Step 3: Compare the estimate and work out the difference between the sequences generated. Use
the difference to find the formula for the nth term.
Section B: For the nth term 𝟑𝟑𝟑 + 1, give the first 5 terms and the 90th term of the sequence
Step 1: Find the first five terms by substituting 𝟑 = 1, 2, 3, 4, 5 into the nth term formula.
Find the 90th term by substituting 𝟑 = 90 into the nth term formula.