Question

The first,third and fourth terms are 18,10 and 32 respectively find the third term​

Answer 1

Given:-

• The first,third and fourth terms are 18,10 and 32 respectively find the third term.

To find:-

• The third term:-

Solution:-

• $\small\bold{Let \: the \: third \: term \: be \: x.}$

• $\small\bold{So, \: 18:10:x:32}$

• $\small\bold{=>10x=18×32}$

• $\small\bold{=>10x=576}$

• $\small\bold{=>x=576/10}$

• $\small\bold{=>x=57.6}$

hey mate! The third term is 57.6

Varifying:-

• $\small\bold{=>18×32=10×56.7}$

• $\small\bold{=>567=567}$

• $\small\bold{=>0=0}$

hence verified!

Explanation:-

• Hey mate! as we know that

$\small\bold{Product \: of \: means=product \: of \: extremes}$

• So following that we made an equation on this rule.

• Solved and got 56.7 as the value of x.

• Hence, as we inserted x in place of the 3rd term the value came as x value was the 3rd term.

hope it helped!