The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Important information:
We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
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