Question

What is the 85th term of the sequence x,x^3/2,x^2,x^5/2?

Answer 1

This is a question of Geometric Sequence.

The given sequence is a Geometric sequence.

The sequence is

x,x^3/2,x^2,x^5/2

Here

The first term  =  a = x

     Common Ratio = r = (x^3/2) / x  = x^1/2

The nth term is

 $a_{n}$ =  $a r^{n-1}$

 $a_{85}$ =  $x.x^{1/2(84)}$

$a_{85}$ =  $x.x^{84/2}$

$a_{85}$ =  $x.x^{42}$

$a_{85}$ =  $x^{43}$

So the 85th term is   $x^{43}$

Answer 2

Step-by-step explanation:

Hope it helps you ❣️☑️☑️