Pls answer with working out
1 answer:
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Answer:
The car will travel 1980 meters in 15 minutes.
Hence, option 'D' is true.
Step-by-step explanation:
Given that a car travels 300 meters in the first minute, so
- a₁ = 300
Each minute after, the car travels 120 meters. , so the sequence becomes
a₁, a₂, a₃, a₄, a₅, ...
300, 420, 540, 660, 780, ...
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
now, we have
- a₁ = 300
- d = 120
so substituting a₁ = 300 and d = 120 in the nth term of the sequence
Thus, the nth term of the sequence is:
<u>Determining the distance the car travels in 15 minutes</u>
As we have already determined the nth term of the sequence such as
now substituting n = 15
Therefore, the car will travel 1980 meters in 15 minutes.
Hence, option 'D' is true.