SOLUTION: Please show all work to explain how you arrived at that answer. What the next number in the sequence? 1, 8, 27, 125, __

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Please show all work to explain how you arrived at that answer. What the next number in the sequence? 1, 8, 27, 125, __      Log On


   

Question 716289: Please show all work to explain how you arrived at that answer.
What the next number in the sequence?
1, 8, 27, 125, __
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This appears to be summing two consecutive indices to get the next number of the sequence.
term 1 is one, term two is 1+1 and then the value of term two is 2^3.
Index of term 1 plus index of term 2 is 3. Term 3 is 3^3.
Index of term 2 plus index of term 3 is 5. Term 4 is 5^3

Looks like you want to add 3 and 4 to get 7. The 5th term would be 7^3.