You are playing an algebra 1 board game with your friends in mr. harris's class. it is your turn. you roll the dice and move your token to the next box in the board. you are in the arithmetic sequence section of the game. you pick a clue card and one of your partners asks you a question. in order to stay alive in the game, you need to answer correctly. you pick the card below. the sixth term is 22 and the common difference is is 6. the question your partner poses to you is “what is the fiftieth term? ”

286

Step-by-step explanation:

The formula to calculate the nth term of arithmetic sequence is given by :-

, where a is the first term and d is the common difference.

Given: The sixth term and the common difference d= 6.

Substitute n=6 in the above formula, we get

Now, the fiftieth term is given by substituting n=50 in the above formula, we get

Hence, the  fiftieth term = 286

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet