Find the first term and common difference of the Arithmetic Progressions whose nth terms are given below (i) tn = −3 +2n

Find the first term and common difference of the Arithmetic Progressions whose nth terms are given below

(i) tn = −3 +2n

Solution :

To find the 1st term of the sequence, we have to apply n = 1.

1st term  t1 = −3 + 2(1)  t1 = −3 + 2  = -1

2nd term  t2 = −3 + 2(2)  t2 = −3 + 4  = 1

d = t2 -  t1   = 1 - (-1)  = 1 + 1 ==> d  = 2

Hence the first term and common difference are -1 and 2 respectively.