PLEASE HELP ME OUT IF YOU CAN

The correct answers are:

Explanation:

Since she is adding two more jumps every time she goes down hill, this is an arithmetic sequence. The general form of an arithmetic sequence is

Since we want the number of jumps on her 4th through 12th trips, we will set n in the summation from 4 to 12. n=4 goes at the bottom of Σ and 12 goes at the top, to represent the values we are interested in.

Beside this, we write our general form. The first term is 6 and d, the common difference, is 2. This gives us 6+2(n-1) beside the summation:

To evaluate this, we substitute the values 4, 5, 6, 7, 8, 9, 10, 11 and 12 in for n, adding all of the values together:

6+2(4-1)+6+2(5-1)+6+2(6-1)+6+2(7-1)+6+2(8-1)+6+2(9-1)+6+2(10-1)+6+2(11-1)+6+2(12-1)

=6+6+6+8+6+10+6+12+6+14+6+16+6+18+6+20+6+22

=180

Answer:

Step-by-step explanation:

Given:71, 73, 83, 94, 82 avg 83 unknown number:x

83 equals 71+73+83+94 +82+x divided by number of scores.

71+73+83+94 +82+x is divided by 6

rearrange equation so that you solve for x

83 times 6

add 71, 73, 83, 94, 82

equation becomes 498=403+x

minus 403 from 498 and that is your x

Simplify both sides of the equation

11c+7c -13c = 115

Simplify

5c= 115

Divide both sides by 5

5c/5 = 115/5

c = 23

I hope that's help !