The 12th term of the sequence 5,15,45 is 885735.
A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
The geometric term can be written as;
[tex]\rm a_n=a+r(n-1)\\\\\\[/tex]
Where; n is the number of terms, r is the common difference and a is the first term of the sequence.
The given sequence is;
5. 15, 45....
The common difference between the terms is;
[tex]\rm r =\dfrac{a_2}{a_1}= \dfrac{15}{5} =3\\\\r =\dfrac{a_3}{a_2}= \dfrac{45}{15} =3\\\\[/tex]
Substitute all the values in the formula
[tex]\rm a_n=ar^{n-1}\\\\a_12 = 5 \times 3^{12-1}\\\\a_{12}=5 \times ^{11}\\\\a_{12}= 5 \times 177147 \\\\a_{12}=885735[/tex]
Hence, the 12th term of the sequence 5,15,45 is 885735.
Learn more about geometric sequence here;
https://brainly.com/question/15485322
#SPJ2
