If x,y,z are pth qth and rth term of an A.P. and also of G.P. then x^y-z y^z-x
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Answer:
x=AR
p−1
=B+(p−1)d
y=AR
q−1
=B+(q−1)d
z=AR
r−1
=B+(r−1)d
=x
y−z
,y
z−x
,z
x−y
x
z
x
y
,
y
x
y
z
,
z
y
z
x
(
z
x
)
y
,(
x
y
)
z
(
y
z
)
x
R
y(b−r)
R
z(q−b)
R
x(r−q)
⇒R
[(B+(q−1)d(p−r)]+[(B+(r−1)d(q−p)]+B+(p−1)d(r−q)]
⇒R
[B(0)+d(pq−pr−q+r+qr−qp−x+p+pr−qr−p+q]
⇒R
0+0
=R
0
=1
Step-by-step explanation:
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