Question

 A cycle manufacturing company manufactured 600 cycles in 3rd year and in 7th year they manufactured 700 cycles. If every year there is same growth in the production of cycles, then find (i) Production in the first year (ii) Production in the 10th year (iii) Total production in the first seven years.​

Answer 1

Answer:

i) 775 cycles

ii) 4375 cycles

Step-by-step explanation:

For 10th year we need to find for first year.

So, 3rd year => a+2d =600————(i)

7th year => a+6d =700————(ii)

now, after subtracting (i) and (ii)

a+6d =700

- a+2d =600

——————

4d =100

and d =100

4

therefore d=25.

Now, put the value of d in eq. (i)

a+2(25)=>600

a+50=>600

a=>600-50

a=>550

production in 1st year is 550.

i) 10th year can be written as:

=>a+9d

=>550 + 9(25)

=>550+225

=>775.

production in 10th year is 775 Cycles.

ii) using formula n [ 2a + ( n-1 )d ]

2

n=7

a=550

d=25

total production=>7 [ 2(550) + (7-1)25 ]

2

=>7 [1250]

2

=>4375.

total production in 7 years is 4375.