14. Prove that in a G.P., an-rxan+r = (a,)?
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Answer:
Hello
Step-by-step explanation:
General P
th
team of G.P with first team, a and common ratio, r
1
is a
P
=ar
1
P−1
⇒a
n−r
=ar
1
(n−r−1)
;a
n+r
=ar
1
(n+r−1)
⇒a
n−r
×a
n+r
=a
2
r
1
(n−r−1+n+r−1)
=a
2
r
1
(2n−2)
=[ar
1
n−1
]
2
=(a
n
)
2
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