Question

Mr. and Mrs. Santiago want their son, Nathaniel, to work on his homework every day. Nathaniel loves to eat candy, so his parents decided to motivate him to do his homework by giving him candies for each day that the homework is complete. Mr. Santiago says that on the first day that Nathaniel turns in his homework, he will give him 3 candies. On the second day, he promises to give 9 candies, on the third day he will give 27 candies, and so on.
3. What is the common difference or common ratio in the problem?

Answer 1

Answer:

the common diffrence is the square of the last number or x,xsqure,xcube

Answer 2

1st day given candies = 3

2nd day given candies = 9

Ratio = 3:9

= 1:3

2nd day given candies = 9

3rd day given candies = 27

Ratio = 9:27

= 1:3

This means Mr. Santiago will give thrice more candies than the candies given on before day, every day.

And the common factor is x, x^2 , x^3 and so on