Question

(1 + \(\dfrac{2}{5}\)) x (1 + \(\dfrac{2}{7}\)) x (1 + \(\dfrac{2}{9}\)) x (1 + \(\dfrac{2}{11}\)) x.......x (1 + \(\dfrac{2}{97}\)) x (1 + \(\dfrac{2}{99}\))

Answer 1

( 1 + \(\dfrac{2}{5}\)).( 1 + \(\dfrac{2}{7}\) ).( 1 + \(\dfrac{2}{9}\)).( 1 + \(\dfrac{2}{11}\)).....( 1 + \(\dfrac{2}{97}\)).( 1 + \(\dfrac{2}{99}\))

= \(\dfrac{7}{5}\).\(\dfrac{9}{7}\).\(\dfrac{11}{9}\).\(\dfrac{13}{11}\)...\(\dfrac{99}{97}\).\(\dfrac{101}{99}\)

= \(\dfrac{7.9.11.13...99.101}{5.7.9.11...97.99}\)

= \(\dfrac{101}{5}\)

❤ HOK TT ❤