Practice Problems on General Sequence :
Here we are going to see some practice questions on sequence.
(1) Find the next three terms of the following sequence.
(i) 8, 24, 72, … Solution
(ii) 5, 1,-3,… Solution
(iii) 1/4, 2/9, 3/16,… Solution
(2) Find the first four terms of the sequences whose nth terms are given by
(i) an = n3 −2 Solution
(ii) an = (−1)n+1 n(n + 1) Solution
(iii) an = 2n2 - 6 Solution
(3) Find the nth term of the following sequences
(i) 2, 5, 10, 17,....... Solution
(ii) 0, 1/2, 2/3, ............ Solution
(iii) 3, 8, 13, 18,... Solution
(4) Find the indicated terms of the sequences whose nth terms are given by
(i) an = 5n / (n + 2); a6 and a13 Solution
(ii) an = -(n2 - 4); a4 and a11 Solution
(5) Find a8 and a15 whose nth term is
(6) If a1 = 1, a2 = 1 and an = 2an - 1 + an - 2 n ≥ 3, n ∈ N, then find the first six terms of the sequence.
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