Which of the following sequence is an arithmetic sequence
A
f(n) = an + b; n ∈ N
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B
f(n) = krn, n ∈ N
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C
f(n) = (an + b) krn,, n ∈ N
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D
f(n) = 1a(n+bn); n ∈ N
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Solution
The correct option is A f(n) = an + b; n ∈ N Sequence f(n) = an + b; n ∈ N is an A.P.
Putting n = 1, 2, 3, 4, ........., we get the sequence
(a + b), (2a + b), (3a + b),...... which is an A.P.
Where first term (A) = (a + b) and common difference d = a.
Aliter: As we have mentioned in theory part that nth term of an A.P. is of the form an + b, ұ n ∈ N.