8. workpad note: remember to show all of the steps you use to solve a problem. you can use the comments field to explain your work. your teacher will review each step of your response to ensure yiu recieve proper credit for your answer. at the half-time show, a marching band marched in formation. the lead drummer started at a point with coordinates (2,-5) and moved 3 steps up and 1 step right. a. write a rule to describe the translation. b. what were the coordinates of the drummer's final position?

a) (x, y) → (x + 1, y + 3)

              b) (2, -5) → (3, -2)

Step-by-step explanation:

the x-axis goes left and right, so 1 step to the right means you need to add 1 unit to the x-coordinate.

the y-axis goes up and down, so 3 steps up means you need to add 3 units to the y-coordinate.

Rule:

If original x-coordinate is x, then the new coordinate is x + 1 (x → x+1)

If original y-coordinate is y, then the new coordinate is y + 3 (y → y+3)

Final position:

If original x-coordinate is 2, then the new coordinate is 2 + 1 (2 → 3)

If original y-coordinate is -5, then the new coordinate is -5 + 3 (-5 → -2)

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: c. is your answer

step-by-step explanation: get me a black leather coat