Find the sum of an AP (x- 2y ), (2x-y), 3x , ........(11x+8y) *
a) 33 (2x+y)
b) 22(2x+y)
c) 28(x+y)
d) 33x + 11y
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a = First term = x-2y
d = common difference = 2x-y - (x-2y) = x+y
aₙ = a+(n-1)d
11x+8y = x-2y + (n-1)(x+y)
10x+10y = (n-1)(x+y)
10(x+y) = (n-1)(x+y)
10 = n-1
n = 11
Sₙ = n(a+aₙ)/2
Sₙ = 11/2 * (x-2y+11x+8y)
Sₙ = 11/2 * (12x+6y)
Sₙ = 11 * (6x+3y)
Sₙ = 11 * 3(2x+y)
Sₙ = 33(2x+y)
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