Q: Fill in the gaps to this sequence 64 125 343 512?

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27, 64, 125, 216, 343, 512, 729

216. That is because 125 is 5 cubed and 343 is 7 cubed, so 6 cubed is 216.

343

343.

125 * 343 = 42,875

1 8 27 64 125 216 343

729

The GCF of 343 and 125 is 1.

Your sequence seems to be a cubed sequence, but you are missing 64 between 27 and 125.13 = 123 = 833 = 2743 = 6453 = 12563 = 216So, next would be 73, which equals 343.

343, 512, 729, 1000, 1331, 1728, 2197

2 cubed is 8.3 cubed is 27.4 cubed is 64.5 cubed is 125.6 cubed = 216.7 cubed is 343.

1

5 x 5 x 5 = 125 7 x 7 x 7 = 343

5x5x5 gives us 125 7x7x7 gives us 343 343/125 is 2.744

The LCM is: 42,875

They are all perfect cubes. 8 = 23, 27 = 33, 343 = 73, 64 = 43 and 125 = 53.

2.744 as a fraction = 2744/1000 or 343/125

2.744 = 2744/1000 = 343/125

-5,-2,1,4,7**

125, 216, 343 and 512.

Cubed integers

It is: 1000 because they are all consecutive cubed numbers

512, 729

The next term is 91. The sequence differences are: 875 - 874 = 1 = 13 874 - 866 = 8 = 23 866 - 839 = 27 = 33 839 - 775 = 64 = 43 775 - 650 = 125 = 53 650 - 434 = 216 = 63 The next difference is 73 (= 343) which is subtracted from 434 to get the next term: 434 - 343 = 91 The sequence is defined as: U1 = 875 Un+1 = Un - n3 for n > 1

512