Question

if x,4 and y are successive terms in an arithmetic sequence and x 3 and y are successive terms in a geometric sequence calculate 1/x +1/y in simplest form

Answer 1

if x,4,y are in AP

we can write it as

x + y = 2*4

$and \: if \: x \: 3 \: and \: y \: are \: in \: gp \: e \: can \: write \: \\ = > 3 = \sqrt{xy} \\ = > xy = 9 \\ = > x + y = 8 \\ we \: should \: find \: \frac{1}{x} + \frac{1}{y } = \frac{x + y}{xy} \\ = > we \: know \: x + y = 8 \: and \: xy = 9 \: \\ if \: we \: substitute \: in \: above \: form \: we \: will \\ \: get \: the \: answer \: in \: simplest \: way \: \\ = > \frac{x + y}{xy} = \frac{8}{9} \\ your \: required \: answer \: is \: \frac{8}{9}$

______________________________________

hope it helps u

plz mark as Brainliest for this simplest easy way solution and get 3 points plzz in need