If 1-1-2 1-1-3 1-1-4 - 1-1-70 -x-70then what is the value of x-

The correct option is C 1 #160; ( 1 1/2 ) ( 1 1/3 ) ( 1 1/4 ) ...... #160; ( 1 1/70 ) =12×23×34.....6869×6970 =170 Comparing it with ...

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Byju's Answer

Standard X

Mathematics

Sum of N Terms of an AP

If 1-1/2 1...

Question

If $(1 - \frac{1}{2}) (1 - \frac{1}{3}) (1 - \frac{1}{4})$ ...... $(1 - \frac{1}{70}) = \frac{x}{70}$
then what is the value of x?

69

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35

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1

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15

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Solution

The correct option is C $1$
$(1 - \frac{1}{2}) (1 - \frac{1}{3}) (1 - \frac{1}{4})$ ...... $(1 - \frac{1}{70})$
$= \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} . . . . . \frac{68}{69} \times \frac{69}{70}$
$= \frac{1}{70}$
Comparing it with $\frac{x}{70},$ , we get,
$x = 1$

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If (1−12)(1−13)(1−14)......(1−170)=x70then what is the value of x?

The correct option is C 1(1−12)(1−13)(1−14)......(1−170)=12×23×34.....6869×6970=170Comparing it with x70,, we get,x=1

If $(1 - \frac{1}{2}) (1 - \frac{1}{3}) (1 - \frac{1}{4})$ ...... $(1 - \frac{1}{70}) = \frac{x}{70}$
then what is the value of x?

The correct option is C $1$
$(1 - \frac{1}{2}) (1 - \frac{1}{3}) (1 - \frac{1}{4})$ ...... $(1 - \frac{1}{70})$
$= \frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} . . . . . \frac{68}{69} \times \frac{69}{70}$
$= \frac{1}{70}$
Comparing it with $\frac{x}{70},$ , we get,
$x = 1$