slove the equation (-4)+(-1)+2+........+x=437
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-4-1+2+......+x=437
-5+2+.....+x=437
-3+.....+x=437
.....+x=440
.......=440-x
-5+2+.....+x=437
-3+.....+x=437
.....+x=440
.......=440-x
shabarinath020:
Its not the answer
It is an arithmetic series.
a = -4 d = +3
-4 - 1 + 2 + 5 + .... + (x-3) + x = 437
Sum of the series = [ 2 a + (n-1)d ]n /2 = 437
[ - 8 + 3(n-1) ] n / 2 = 437
- 11n + 3n² = 874
3 n² -11n - 874 = 0
n = (11 +- 103 )/6 = 114/6 = 19 as n is +ve only.
So x = a + (n-1)d = -4 + 3 (19-1) = 50
a = -4 d = +3
-4 - 1 + 2 + 5 + .... + (x-3) + x = 437
Sum of the series = [ 2 a + (n-1)d ]n /2 = 437
[ - 8 + 3(n-1) ] n / 2 = 437
- 11n + 3n² = 874
3 n² -11n - 874 = 0
n = (11 +- 103 )/6 = 114/6 = 19 as n is +ve only.
So x = a + (n-1)d = -4 + 3 (19-1) = 50
It is the answer
Any way thanks for brilliant answer
You are good
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