I have a word problem with a pattern. I just can't figure it out. - On the first night, Kim's mom gave her a nickel, on the second, she gave her five nickels, on the third, she gave her fourteen nickels and on the fourth night she gave her thirty nickels. Her mother asked Kim to figure out what she would receive on the tenth night. - I know this must be easy, but I just don't see it.

Respuesta :

1st night Nickel - 5 pennies
2nd night 5 nickels - 25 pennies
3rd night 14 nickels - 70 pennies
4th night 30 nickels - 150 pennies
5th night 46 nickels
6th night 78 nickels
7th night 126 nickels
8th night 206 nickels
9th night 334 nickels
10th night 542 nickels

So her mother would give Kim 542 nickels on the 10th night.

Differences between number of nickels: 4, 9, 16

9 - 4 = 5
16 - 9 = 7

The pattern is Kim's mom gives her child two more nickels plus the amount of nickels she got the day before.

This was a little tricky so I don't know if this is right but I hope this helps you!