write an example to prove ACB then ACB=B and AnB
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Answer:
Let a be the first term, r be the common ratio and l be the last term of a GP containing n terms.
Then,
(pth term from the beginning)×(pth term from the end)
=(pth term from the beginning)×{(n−p+1)the term from teh beginning}
=T
p
×T
(n−p+1)
=ar
p−1
×ar
(n−p+1)−1
=ar
(p−1)
×ar
(n−p)
=a×(ar
n−1
)=(T
1
×T
n
)=(first term × last term).
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