SOLUTION: A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the spe

Algebra ->  Sequences-and-series -> SOLUTION: A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the spe      Log On


   



Question 287731: A large asteroid crashed into a moon of a 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 29, 40, 51, 62, . . . Find the total distance that the projectile traveled in seven seconds.
A. 339 feet
B. 405 feet
C. 434 feet
D. 182 feet

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
29, 40, 51, 62, . . .
It appears that the projectiles accelerates 11 feet per second per second
29,40,51,62,73,84,95
01,02,03,04,05,06,07
29+40+51+62+73+84+95=434
c) 434 feet