Question

Which of the following are possible explicit formulas for the nth term of the constant-velocity sequence below? 10, 16, 22, 28, ...

choices=
A. xn = 6(n - 1)
B. xn = xn-1 + 6
C. this one doesnt appear
D. xn = 4 + 6n
E. xn = 10 + 6(n - 1)

Answer 1

Hint: The next number in the sequence is the previous number, plus 6 added

Answer 2

can you help me figue this one out

In a famous story, a wise man in India requests a reward promised by his king. The wise man shows the king a chessboard having 64 squares. "Put 1 grain of rice on the first square, 2 grains on the second square, 4 on the third square, 8 on the fourth square, and so on. That will be my reward."

The king readily agrees, and is ruined because the total number of rice grains turns out to be about 37 trillion trillion trillion grains of rice ? much more than the value of the entire kingdom. How many grains of rice go in the 12th square?

Answer 3

1st square -> 1 grain
2nd square -> 2 grains
3rd square -> 4 grains
4th square -> 8 grains
... do you see the pattern?

Answer 4

yeah i see the patter its just doubling would i just multiply 2*64??

Answer 5

i mean 2*12 which would be 24 right?

Answer 6

Be careful, if you see that for the 5th square, you would get 16 (since it's 8 times 2).
But 5 * 2 is not 16

Answer 7

You are always multiplying by 2.
2 x 2 x 2 x 2 x ...

Answer 8

so
2x2x2x2x2x2x2x2x2x2x2x2?

Answer 9

yes :)

Answer 10

thanks :)

Answer 11

yw