I think they gave you Sk
k(3k-1)/2
Sk+1 = Sk + 3 (k+1) - 2
= (3 k^2 - k)/2 + 3 k +1
= (1/2)( 3 k^2 - k + 6 k +2 )
= (1/2)(3 k^2 + 5k + 2)
= 1.5 k^2 + 2.5 k + 1
A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.
Sn: 1 + 4 + 7 + . . . + (3n - 2) = n(3n - 1)/2
2 answers
Thank you so much !