Question

Make a conjecture about the pattern of the given data. Find the sum of the 7th row.
3
3 + 6 + 3
3 + 6 + 9 + 6 + 3
3 + 6 + . . . + ( 3n − 3) + ( 3n ) + ( 3n − 3) + . . . + 3

Answer 1

So for the first row its \(3(1)=3(1^2)=3\)
Second row its\( 3(1+2+1)=3(4)=3(2^2)=12\)
Third row is \(3(1+2+3+2+1)=3(9)=3(3^2)=27\)
Fourth row is \(3(1+2+3+4+3+2+1)=3(16)=3(4^2)=48\)
Fifth Row is \(3(1+2+3+4+5+4+3+2+1)=3(25)=3(5^2)=75\)
Do you see a pattern?

Answer 2

I think I get it now :)
So this means that row 6 would be 3(6²) = 108 and 3(7²) = 147.

Answer 3

YAAAAAA!!!!!

Answer 4

You made this very easy to understand, thanks a lot :)

Answer 5

np :)