Ex. (1) A mixer manufacturing company manufactured 600 mixers in 3rd year and in
7th year they manufactured 700 mixers. If every year there is same growth in the
production of mixers then find (i) Production in the first year (ii) Production in
10th year (iii) Total production in first seven years.
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Answers
Answered by
0
Answer:
1. 550
2. 775
3. 4374
Step-by-step explanation:
sum belongs to AP
Answered by
1
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.
(ii) tn= a+(n-1)dt
10= 550+(10-1) ´ 25
= 550 + 225
Production in 10th year was 775.
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