If a gas-filled balloon rises 40 feet in the 1st minute, 60 feet in the 2nd minute, and 80 feet in the 3rd minute, how many feet will the balloon rise during the 15th minute?

A300 feet
B320 feet
C340 feet
D360 feet
E380 feet

Verified Answer :

The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
                                     an = a1 + (n - 1) x d
Substituting,
                                      an = 40 + (15 - 1) x 20 = 320
Thus, the answer is letter B. 320 feet.