For the given statement pn, write the statements p1, pk, and pk+1.
2 + 4 + 6 + . . + 2n = n(n+1)

=  2

= k(k+1)

= (k+1)(k+2)

Step-by-step explanation:

We are given the statement,

as 2 + 4 + 6 + . . . + 2n = n(n+1)

That is,

as 2 + 4 + 6 + . . . + 2n =

So, we have,

= = 2

= = 2 + 4 + 6 + . . . + 2k = k(k+1)

= = 2 + 4 + 6 + . . . + 2k + 2(k+1) = (k+1)(k+2)

Thus, we get,

=  2

= k(k+1)

= (k+1)(k+2)

both equations and proportions are better.