Does the infinite geometric series diverge or converge? 4+12+36+108+...

Mathematics

1 answer:

kati45 [8]4 years ago

3 0

Answer:

Algebra 2 B unit 4 lesson 7 Unit Test part 1

Step-by-step explanation:

1. 6,11,16,21,26

2. a₁=8; aₙ=aₙ₋₁-2

3. aₙ=-13+7(n-1)

4. 4.6 feet

5. aₙ=24n

6. no

7. -34

8. 28

9. yes; 2/3

10. 1/4096

11. -175

12. 900

13. 5 sigma n-1 (-2.2+4.4n)

14. 752

15. 190

16. 3

17. 22 124/125

18. It diverges; it does not have a sum

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3 years ago

Which of the following is a polynomial function? Select all correct answers. Select all that apply: f(x)=4⋅11x f(x)=3⋅18x f(x)=1

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Answer:

All of them are polynomial functions

Step-by-step explanation:

Remember that a polynomial function of x is a function whose value f(x) is always equal to $f(x)=a_0+a_1x+a_2x^2+\cdots a_nx^n$ for a fixed n≥0 (the degree of f) and fixed coefficients $a_i\in\mathbb{R}$

For example, $f(x)=x^2+3x$ is a polynomial function, but $g(x)=2^x+x$ is not because $2^n$ is not a nonnegative power of x. Another example of a non-polynomial function is $g(x)=x^{-1}=\frac{1}{x}$ .

f(x)=4⋅11x is polynomial with degree 1 and $a_0=0,a_1=4\cdot 11$ . For the same reasons, f(x)=3⋅18x and f(x)=10⋅17x are polynomial functions.

f(x)=−4x³−4x²+5x+1 is a polynomial function of degree 3 with $a_0=1,a_1=5, a_2=a_3=-4$ . and f(x)=−2x−1 is a polynomial function of degree 1 and coefficients $a_0=-1,a_1=-2$ .