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juin [17]
3 years ago
7

How to find the nth term

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0
Find the difference between each term, (e.g 3,5,7,9 —> the difference is 2 so it would be 2n) and then you minus that number from the first term (3-2=1) so therefore the nth term for that sequence would be 2n + 1
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If f(x)=3 x -1 and g(x)=0.03x^3-x+1 an approximate solution for the equation f(x)=g(x) is
lubasha [3.4K]

Answer:

  x ≈ {-11.789, +0.501, 11.288}

Step-by-step explanation:

The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...

  g(x)-f(x)=0\\\\0.03x^3-x+1-(3x-1)=0\\\\0.03x^3-4x+2=0

Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.

_____

<em>Comment on the problem statement</em>

Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.

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