Answer:
d. 125, 216, 343
Step-by-step explanation:
The given sequence is 1, 8, 27, 64,.......
Now, we can write
[tex]1=1^3\\\\8=2^3\\\\27=3^3\\\\64=4^3[/tex]
Here, we can see that the first term is cube of 1, second term is cube of 2, third term is cube of 3 and so on.
Therefore, in order to find the 5th, 6th and 7th term of the sequence, we have to take cube of 5, 6 and 7 respectively.
Therefore, the next three terms of the sequence are
[tex]5^3=125\\\\6^3=216\\\\7^3=729[/tex]
The correct option is d which is 125, 216, 343
