answer the question pls give me fast answer then I will give you brilint mark
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Answer:
1) a(1) = 550
2) a(10) = 775
3) 4375
Step-by-step explanation:
by increasing uniformly, the question says that it follows A.P.
given , a(3) = 600 & a(7) = 700
a(3) = a(1) + (3-1)×d
=> 600 = a(1) + 2d.........1
a(7) = a(1) + (7-1)d
=> 700 = a(1) + 6d..........2
subracting equation 1 from 2
we get => 700-600 = 4d
=> 4d = 100
=> d= 25
1) putting value of d in equation 1
we get , 600 = a(1) + 2(25)
=> a(1) = 600-50
=> a(1) = 550
2) a(10) = a(1) + (10-1)d
=> a(10) = 550 + 9×25
=> a(10) = 775
3) total production in first 7 year = S(7)
=> S(7) = (7/2) [ 2×550 + (7-1)×25]
=> S(7) = (7/2) [ 2×550 + 6×25 ]
=> S(7) = (7/2) [1250]
=> S(7) = 4375
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