Alarge asteroid crashed into a moon of another planet, causing several boulders from the moon to be propelled into space toward the planet. astronomers were able to measure the speed of one of the projectiles. the distance (in feet) that the projectile traveled each second, starting with the first second, was given by the arithmetic sequence 17, 51, 85, 119, find the total distance that the projectile traveled in the ninth second.

Total distance traveled in ninth second is:

289 feet.

Step-by-step explanation:

The distance (in feet) that the projectile traveled each second, starting with the first second, was given by the arithmetic sequence :

17, 51, 85, 119, ...

i.e. we have:

Since,

where d represents the common difference of the sequence.

Hence, the ninth term of the sequence is the total distance that the projectile traveled in the ninth second i.e.

Hence, the total distance traveled in the ninth second is:

289 feet.

answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!