The largest and smallest of three consecutive terms in an arithmetic sequence differ by 14. half of the smallest term is added to each term and the sum of the resulting three numbers is 120. what is the value of the original smallest term?

Let the smallest number be x and the common difference be d .

So the three consecutive numbers are

x , x+d, x+2d

And it is given that the difference between smallest and largest is 14.

So we get x+2d-x =14

2d=14

d=7

So the three consecutive numbers are

x , x+7, x+14 .

Half of the smallest number is 0.5x.

Adding it to each number will give x+0.5x, x+7+0.5x, x+14+0.5x

= 1.5x , 1.5x +7 , 1.5x +14

And there sum is 120 .

1.5x +1.5x +7 +1.5x+21 =120

4.5x +28=120

4.5x = 92

x= 20 approx .

283 square feet

step-by-step explanation:

good luck

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it