Find the nth term of the following sequences (i) 2, 5, 10, 17, …(ii

1.	Find the nth term of the following sequences (i) 2, 5, 10, 17, …(ii) 0, 1/2, 2/3, …(iii) 3, 8, 13, 18, …
Answer» (i) (1² + 1);(2² + 1),(3² + 1),(4² + 1) … n^th term is n² + 1 a_n = n² + 1 (ii) (1 - 1/1), (2 - 1/2), (3 - 1/3) … n^th term is (n - 1)/n a_n = (n - 1)/n (iii) [5(1) -2], [5(2) – 2], [5(3) – 2], [5(4) – 2] … The n^th term is 5n – 2 a_n = 5n – 2

Find the nth term of the following sequences (i) 2, 5, 10, 17, …(ii) 0, 1/2, 2/3, …(iii) 3, 8, 13, 18, …

Answer»

(i) (1² + 1);(2² + 1),(3² + 1),(4² + 1) …

n^th term is n² + 1

a_n = n² + 1

(ii) (1 - 1/1), (2 - 1/2), (3 - 1/3) …

n^th term is (n - 1)/n

a_n = (n - 1)/n

(iii) [5(1) -2], [5(2) – 2], [5(3) – 2], [5(4) – 2] …

The n^th term is 5n – 2

a_n = 5n – 2