A mixure manufacturing company manufactured 600 mixers in 3rd year and in 7th year it manufactured 700 mixures. Find the production in first year. (Arithmetic Progression)
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A mixure manufacturing company manufactured 600 mixers in 3rd year and in 7th year it manufactured 700 mixures. Find the production in first year. (Arithmetic Progression)
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Step-by-step explanation:
Let’s assume that company manufactured tn mixers in the nth year then as per
given information,
t3 = 600, t7= 700
We know that tn
= a+(n-1)dt3
= a+(3-1)d
a + 2d = 600. . . (I)
t7= a+(7-1)d
t7= a+6d = 700
a+2d = 600 \ Substituting a = 600 - 2d in equation (II),
600 - 2d + 6d = 700
4d = 100 \ d = 25
a+2d = 600 \ a + 2 ´ 25 = 600
a + 50 = 600 \ a = 550
:Production in first year was 550.