Check whether the following sequences are in A.P. (iii) 9, 13, 17, 21, 25,...

Check whether the following sequences are in A.P.

(iii) 9, 13, 17, 21, 25,...

Solution :

d = t2 - t1 d = 13 - 9 d  = 4

d = t3 - t2 d = 17 - 13 d  = 4

The given sequence is an arithmetic progression.

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

Find the nth term of the following sequences

(i) 2, 5, 10, 17,...

Solution :

(1 + 1), (4 + 1), (9 + 1), (16 + 1),...

(12 + 1), (22 + 1), (32 + 1), (42 + 1),...

nth term of the sequence  :

an  = n2 + 1