Simplify the following sums:

1

1+8

1+8+27

1+8+27+64

Add two more lines to the list, and make a conjecture about the sums you obtained.

So i simplified and got:

1

9

36

100

but i dont know what to do with this!!!

Simplify the following sums:

1

1+8

1+8+27

1+8+27+64

Add two more lines to the list, and make a conjecture about the sums you obtained.

So i simplified and got:

1

9

36

100

but i dont know what to do with this!!!

1

1+8

1+8+27

1+8+27+64

Add two more lines to the list, and make a conjecture about the sums you obtained.

So i simplified and got:

1

9

36

100

but i dont know what to do with this!!!

1 = 1^3

8 = 2^3

27 = 3^3

64 = 4^3

1 = 1^2

9 = 3^2 (3 = 1 + 2)

36 = 6^2 (6 = 1 + 2 + 3)

100 = 10^2 (10 = 1 + 2 + 3 + 4)

8 = 2^3

27 = 3^3

64 = 4^3

1 = 1^2

9 = 3^2 (3 = 1 + 2)

36 = 6^2 (6 = 1 + 2 + 3)

100 = 10^2 (10 = 1 + 2 + 3 + 4)

so the next 2 numbers would be 5^3,6^3? and th formula would be (1+2+3+4+5)^2,(1+2+3+4+5+6)^2?