Tilly begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Tilly will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Is the sequence An a function? Why or why not?

The sequence is a function as for any value of n we can not get more than one different value.

Step-by-step explanation:

Tilly starts by running 1 mile in the first week and tripling the number of miles each week.

Now, the number of miles Tilly will run can be modeled by the sequence , where n is the number of weeks since she began her program.

Therefore, in the second week she runs 3 miles, in the third week she runs 9 miles and so on.

Therefore, the sequence is a function as for any value of n we can not get more than one different value. (Answer)

i dont know i just need points

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: