Answer :
The value of x in sequence of number is 10.
Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.
What is geometric series?
Geometric series is an infinite series of the form:
[tex]a+ar+a r^{2} +ar^{3} +..........[/tex]
where r is known as common ratio.
Now, first term is x and each term there after is twice the previous term.
So the series will be;
x , 2x , 4x , 8x, ..........
Clearly this series is geometric series with common ratio 2.
And the nth term of geometric series is [tex]ar^{n-1}[/tex]
⇒ fifth term is 160
[tex]ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10[/tex]
Here, first term is x.
The value of x in sequence of number is 10.
Learn more about the geometric series visit:
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