Answer:
see explanation
Step-by-step explanation:
There is a common difference d in the values, that is
9 - 5 = 13 - 9 = 17 - 13 = 21- 17 = 4
To obtain a term in the sequence add 4 to the previous term, thus
t₉ = t₈ + 4 → C
(b)
Given the n th term formula 3n - 8
To find any term, substitute the term position n into the formula
(i) first term (n = 1), then
3(1) - 8 = 3 - 8 = - 5
(ii) tenth term (n = 10, then
3(10) - 8 = 30 - 8 = 22
(iii) 100 th term ( n = 100), then
3(100) - 8 = 300 - 8 = 292
