Question

the first second and third terms of proportion are respéctively 48,96,and 144.find its 4th term.​

Answer 1

Answer:

The first second and third terms of proportion are respéctively 48,96,and 144. It's 4th term is 192

Step-by-step explanation:

This is an arithmetic progression where 48 is the first term with common difference 24.

In an arithmetic progression, nth term of the progression can be found by using the equation

$a_{n} =a_{1} +(n-1)d$

where $a_{n}$ is the $n^{th}$ term of the progresssion, $a_{1}$ is the first term and $d$ is the common difference.

Here $a_{1}$ is 48, $d$ is 48, $n$ is 4,therefore

      $a_{n}$ = 48+ (4-1)48 = 192

Therefore 4th term in the progresssion is 192