13th term of the geometric sequence 3, -15, 75 is 732421875
Step-by-step explanation:
Find the 13th term of the geometric sequence 3, -15, 75,
The formula to find the geometric sequence is
![a_n=a_1r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1r%5E%7Bn-1%7D)
where a_1 is 1st term in the sequence
and r is the common ratio
In the given sequence 3, -15, 75,
![a_1 = 3\\r=\frac{a_2}{a_1}\\r=\frac{-15}{3}\\r=-5](https://tex.z-dn.net/?f=a_1%20%3D%203%5C%5Cr%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D%5C%5Cr%3D%5Cfrac%7B-15%7D%7B3%7D%5C%5Cr%3D-5)
so, 13th term in the sequence will be:
n= 13
![a_n=a_1r^{n-1}\\a_{13}=3(-5)^{13-1}\\a_{13}=3(-5)^{12}\\a_{13}=732421875](https://tex.z-dn.net/?f=a_n%3Da_1r%5E%7Bn-1%7D%5C%5Ca_%7B13%7D%3D3%28-5%29%5E%7B13-1%7D%5C%5Ca_%7B13%7D%3D3%28-5%29%5E%7B12%7D%5C%5Ca_%7B13%7D%3D732421875)
So, 13th term of the geometric sequence 3, -15, 75 is 732421875
Keywords: Geometric sequence
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Answer:
18.64
Step-by-step explanation:
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The slope of a line that passes through (3,4) and (5,8) is 2
Answer:
Step-by-step explanation:
6ft*(12in/ft)*(2.54cm/in)=182.88cm