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blsea [12.9K]
3 years ago
8

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 wi

ll the balloon rise during the 15th minute?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0
Let g_n represent the number of feet that the balloon rises in the n^{th} minute.

so

g_1=40 ft , means that in the 1st minute, the balloon rose 40 feet

g_2=60 ft, means : in the 2nd minute the balloon rose 60 feet

g_3=80

we notice that each minute, the balloon rises a multiple of 20, feet:

g_1=40=2*20 

g_2=60=3*20 

g_3=80=4*20

so it is clear that g_n=(n+1)*20

during the 15th minute the balloon rises g_1_5=16*20=320(feet)


Answer: 320


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