After being set up a company manufactures 6000 scooters


Asked by admin @ in Math viewed by 165 People


After being set up, a company manufactured 6000 scooters in the third year and 7000 scooters in the seventh year. assuming that the production increases uniformly by a fixed number every year, what is the production in the tenth year?

Answered by admin @


Answer:

The production in the tenth year is 7750

Step-by-step explanation:

A company manufactured 6000 scooters in the third year and 7000 scooters in the seventh year.

Since we are given that the production increases uniformly by a fixed number every year

So, It forms an AP

Formula of nth term = a_n=a+(n-1)d  ---1

So, a_3=6000

a_3=a+(3-1)d=6000

a_3=a+2d=6000---A

And a_7=7000

a_7=a+(7-1)d=7000

a_7=a+6d=7000   ---B

Subtract A from B

a+6d-a-2d=7000-6000

4d=1000

d=\frac{1000}{4}

d=250

Substitute the value of d in A

a+2(250)=6000

a+500=6000

a=5500

Now to find the production in the tenth year

Substitute n 10 in 1

a_{10}=5500+(10-1)(250)

a_{10}=7750

Hence  the production in the tenth year is 7750

Do you know the better answer?

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