Question
Use mathematical induction to prove that$$\begin{array}{l}{a+(a+d)+(a+2 d)} \\{\quad+\cdots+[a+(n-1) d]=n a+d \frac{n(n-1)}{2}}\end{array}$$
Step 1
For $n=1$, the left-hand side of the equation is $a+(1-1)d=a$ and the right-hand side is $1a+d\frac{1(1-1)}{2}=a$. So, the equation holds for $n=1$. Show more…
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