If 7, x, y, – 5 are in A.P., then the value of x – y is
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7,x,y,-5 are in AP
common difference is equal
x-7=y-x
2x-7=y
y=2x-7---(1)
x-7= -5-y
x+y=2--(2)
substitute (1)in (2)
x+2x-7=2
3x=9
x=9/3
x=3
substitute x=3 in(1)
y=2*3-7=6-7=-1
therefore
x-y=3-(-1)=4
common difference is equal
x-7=y-x
2x-7=y
y=2x-7---(1)
x-7= -5-y
x+y=2--(2)
substitute (1)in (2)
x+2x-7=2
3x=9
x=9/3
x=3
substitute x=3 in(1)
y=2*3-7=6-7=-1
therefore
x-y=3-(-1)=4
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