Consider the two sums and

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Consider the two sums

S_1 = \displaystyle \sum_{k=1}^{n}(4k+2)

and

S_2 = \displaystyle \sum_{k=0}^{n-1}(4k+2)

. Are

S_1

and

S_2

equal for the same positive integer

n

? Give a brief reason for your answer.