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What is the 85th term of the sequence x, x3/2, x2, x5/2,...?

x85/2
x45/2
x43
x44
Explanation:

$Geometric progression series$

$r=\dfrac{x^{\dfrac{3}{2}}}{x}=x^{\dfrac{1}{2}}$

$t_{n}=a\times r^{n-1}=l$

$x \times [x^{\dfrac{1}{2}}]^{85-1}=x\times x^{\dfrac{1}{2}\times84} $

$=x\times x^{42}$

$=x^{43}$

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