Question

when simplified the product ( 2 - 1/3 ) ( 2- 3/5 ) (2- 5/7 ) (2- 17/19 )​

Answer 1

Answer:

given by:-

》the product (2-1/3) (2-3/5) (2-5/7)......(2-997/999) is equal to = ?

now , we have

》=(2 - 1/3) × (2 - 3/5) × (2 - 5/7) × . . . × (2 - (2k-1)/(2k+1)) × . . . × (2 - 997/999)

( \frac{6 - 1}{3}) \times ( \frac{10 - 3}{5} ) \times ( \frac{14 - 5}{7} ).......(

3

6−1

)×(

5

10−3

)×(

7

14−5

).......

》= 5/3 × 7/5 × 9/7 ×11/9 × . ... . × (2k+3)/(2k+1) ×.............. ×1001/999

》=(1001/3) ans

☆ i hope its help☆