Answer:
see explanation
Step-by-step explanation:
(a)
The common difference (d) in an arithmetic sequence is
d =
-
= 24 - 2 = 22
To obtain the next term in the sequence add 22 to the previous term
= 46 + 22 = 68
= 68 + 22 = 90
= 90 + 22 = 112
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(b)
The n th term of an arithmetic sequence is
= a + (n - 1)d
where a is the first term and d the common difference
here a = 2 and d = 22, hence
= 2 + 22(n - 1) = 2 + 22n - 22 = 22n - 20 ← n th term formula
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(c)
Using the n th term formula
= (22 × 35) - 20 = 770 - 20 = 750