SOLUTION: Describe a pattern in the sequence of numbers. Predict the next number: 0,1,4,9...

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Question 208315This question is from textbook
: Describe a pattern in the sequence of numbers. Predict the next number:
0,1,4,9...
This question is from textbook

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Describe a pattern in the sequence of numbers. Predict the next number:
0,1,4,9...

There are two ways to do that:

First way:

0+=0%5E2
1+=1%5E2
2+=2%5E2
3+=3%5E2

Pattern: Square each whole number.

Using that pattern, the next number is

16=4%5E2

Second way:

0%2B1=1
1%2B3=4
4%2B5=9
  
Pattern: add the next odd integer to the preceding number.

9%2B7=16

Edwin