Question

Jack has decided that he needs to get more exercise so he is building a running regimen for himself. He decided that, beginning Sunday, he'll run 10 feet. On each subsequent day, he'll run double the distance he ran the previous day. So he'll run 20 feet on Monday, 40 feet on Tuesday, and so on.
How far will Jack have to run on the 14th day?
If Jack sticks to his routine, how far will he have run in 14 days?

Answer 1

i mean geometric series

Answer 2

thats what i thought

Answer 3

i just dont know how to set up the formula

Answer 4

how many times will it have doubled by the 14th day

Answer 5

if its doubling everyday

Answer 6

14

Answer 7

or 13

Answer 8

ya 13

Answer 9

so where does that go into the formula

Answer 10

what does it mean to double 13 times?

Answer 11

10*2*2*2*2....*2

Answer 12

10*2^13

Answer 13

so 20^13

Answer 14

no

Answer 15

exponent before multiplication

Answer 16

its just 10 * 2*2*2*...*2, 10 multiplying 13 of 2s

Answer 17

what about a formula?

Answer 18

or is this easier

Answer 19

why dont u come up with that

Answer 20

look at the pattern

Answer 21

81920

Answer 22

1st day = 10
2nd day = 10*2
3rd day= 10*2^2
.
.
>

Answer 23

nth day =?

Answer 24

hold on

Answer 25

the common ratio is 20?

Answer 26

what?

Answer 27

is the common ratio 20

Answer 28

what is that

Answer 29

i dont know what it is good enough to explain to you haha

Answer 30

i think it is 20 though hold on

Answer 31

no

Answer 32

it is 2?

Answer 33

1st day = 10
2nd day = 10*2
3rd day= 10*2^2
4th day =10*2^3
..
.
.
nth day=10*2^(n-1)

Answer 34

when do you use n-1 and n+1

Answer 35

look at the pattern

Answer 36

1st day = 10*2^0
2nd day = 10*2^1
3rd day = 10*2^2

Answer 37

10*2^(day number -1)

Answer 38

but when do you know when to use n-1 or n+1

Answer 39

why isnt it (n+1)

Answer 40

i feel like u are just tryna look for formulas

Answer 41

instead of just understanding it

Answer 42

yeah i am :P

Answer 43

i dont understand algebra

Answer 44

theres no formulas, u are gonna forget the formula

Answer 45

in a couple days

Answer 46

but u understand this u wont ever forget it

Answer 47

when you do 10*2^(day number -1) why isnt it 10*2^(day number +1)

Answer 48

u tell me -_-

Answer 49

does it work with the pattern?

Answer 50

1st day = 10*2^(1+1)? or 10*2^(1-1)

Answer 51

i see

Answer 52

so he will have to walk 81920 steps on the 14 day

Answer 53

how do i find out how many steps he walked without adding each individual day?

Answer 54

@Luigi0210