Write a recursive formula for the sequence 180,160, 140, 120, 100...

g(n) = 180 - 20(n-1)

Step-by-step explanation:

Since your has its g(1) value as 180, we put 180 in front. Then, we subtract 20 multiplied by n-1, n being the sequence number. For example, if the recursive function has recursed 3 times, we do 3-1, which is 2. We multiply 2 with 20, which is 40. Finally, we subtract 40 from 180, which is 140. This equation is equivalent to g(3) = 180 - 20(3-1). When the sequence has g(3), we clearly see the answer is 140. When we look at the sequence, the third number is 140, proving this equation correct.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

step-by-step explanation:

what does 'mandy have ben 780 bottle caps. ' mean?