Using the Principle of Mathematical Induction, prove the solution to find the nth term

in the general arithmetic sequence a1 = a, and for k 1, ak+1 = ak + d

for n 1 with first term a and common difference d is an =a+(n1)d.

(a) First, we need to show that this is true for no =

(b) Next, we assume

(c) We need to show

(d) Using the induction hypothesis, we see