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.

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

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