Let an equal the number of ternary strings of length n made up of os, .ls, and 2s, such that the substrings 00, 01, 10, and 11 never occur. prove that an = an-l +2an-2, (n 2: 2), with ao = 1 and al =3. then find a formula for an.

Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?

There is an entrance to the computer room at point e which lies on ab and is 5 feet from point a. plot point e on the coordinate plane. find the distance from the entrance at point e to the printer at point e

To decrease an amount by 16% what single multiplier would you use