The 12th term of the sequence 5,15,45 is 885735.
What is geometric sequence?
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;
\(\rm a_n=a+r(n-1)\\\\\\\)
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;
\(\rm r =\dfrac{a_2}{a_1}= \dfrac{15}{5} =3\\\\r =\dfrac{a_3}{a_2}= \dfrac{45}{15} =3\\\\\)
Substitute all the values in the formula
\(\rm a_n=ar^{n-1}\\\\a_12 = 5 \times 3^{12-1}\\\\a_{12}=5 \times ^{11}\\\\a_{12}= 5 \times 177147 \\\\a_{12}=885735\)
Hence, the 12th term of the sequence 5,15,45 is 885735.
Learn more about geometric sequence here;
https://brainly.com/question/15485322
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