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aleksley [76]
3 years ago
14

Find an explicit formula for the geometric sequence 3, 15, 75, 375...

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:

3(5)^x-1

Step-by-step explanation:

I'm assuming that the y term 3 is the first term in the sequence which would mean that your first number in the equation would be 3. then, you find the slope of the sequence (5) so your equation is now five times three. Then you would raise it to the power of (x) and subtract one from x because 3 is not the y intercept but in fact the first term.

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FinnZ [79.3K]
Lets say that Williams current age is x, since it is currently unknown
From here we know that in 15 years (x+15) he will be 3 times his age 5 years prior (3x-5). Thus we can set these equations up as equal to one another
1) x + 15 = 3(x - 5)
2) x + 15 = 3x-15
3) 30= 2x
4) 15 = x
5) Now this age is his current age of 15 years, but they also want his age 15 years from now
The equation is x + 15 = 3(x - 5)

This should be correct now, sorry for the misconception. Good luck
 
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