Question

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 26, 44, 62, 80,.... Find the total distance that the projectile traveled in seven seconds.

A) 534
B) 560
C) 212
D) 426

Answer 1

starting at 26 feet in the first second.
The total distance will be
26 + 44 + 62 + 80 + 98 + 116 + 134 = 560 feet[adding all]
so correct option is 560 that is B
hope it helps

Answer 2

B

Explanation:

You can see from the sequence 26, 44, 62, 80,.... that each term after the first is 18 larger than the previous term.

The first 4 seconds' distance is given, so

• 5th second distance is 80+18=98
• 6th second distance is 98+18=116
• 7th second distance is 116+18=134

To find total distance for 7 seconds, we add up all the individual distances:

26+44+62+80+98+116+134=560

Answer choice B is right.