Find the sum of the first nine terms in the series (1+8+27+64+125+)

1+8+27+64+125 sequence

7(1 to 8), 19(8 to 27), 37(27 to 64), 61(64 to 125) additions

+6 (7), +12(19), +18 (37), +24(61)
how the additions were made, which were put into the sequence.

Now look to how the additions were made and figure out the next sequence. There will need to be four more numbers, then the sequence can be added.

+30 (91)➡216, +36(127)➡252, +42(169)➡421, +48 (217)➡638

The new sequence is: 1+8+27+64+125+216+252+421+638

The sum is: 1752

1752 should be what you get after all the math, hope this helped.

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