Asked by Anne
If 8,x,y,z and 20 are in A.P.find x,y,z
Answers
Answered by
Reiny
y-x = x-8
y = 2x-8
z-y = y-x
z = 2y - x
= 2(2x-8) - x = 3x - 16
20-z = z-y
y = 2z - 20
2x - 8 = 2(3x-16)-20
2x-8 = 6x - 32-20
4x = 44
x = 11
y = 22-8 = 14
z = 33-16 = 17
or, simplest way:
4d = 20-8
d = 3
so the terms are 8, 11, 14, 17, and 20
match the x,y, and z
y = 2x-8
z-y = y-x
z = 2y - x
= 2(2x-8) - x = 3x - 16
20-z = z-y
y = 2z - 20
2x - 8 = 2(3x-16)-20
2x-8 = 6x - 32-20
4x = 44
x = 11
y = 22-8 = 14
z = 33-16 = 17
or, simplest way:
4d = 20-8
d = 3
so the terms are 8, 11, 14, 17, and 20
match the x,y, and z
Answered by
rabi
if 8,x,y,2 and 20 are in A.p find x and y?
Answered by
Orobo
If 8,x,y,z and 20 are in AP.Find x,y,and z
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