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12345 [234]
4 years ago
12

Given the sequence 1, 9, 25, 49, 81, ..., find the explicit formula. A. an=(2n−1)2an=(2n−1)2 B. an=n2−1an=n2−1 C. an=−4n+2an=−4n

+2 D. an=−2n+2
Mathematics
1 answer:
IrinaK [193]4 years ago
7 0
F(n) = {f(1) = 1
         {f(n) = (2n - 1)
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State the requirements that must be satisfied to use the​ one-way ANOVA procedure. Select all that apply. A. The k samples must
Sergeu [11.5K]

Answer:

The correct option are: (A), (B), (C) and (E).

Step-by-step explanation:

The One-Way ANOVA is a statistical test used to compare the three or more population means.

The hypothesis is:

<em>H</em>₀:  The population means are equal, i.e. μ₁ = μ₂ = μ₃ =...= μₙ

<em>H</em>ₐ: At least one of the population mean differ.

The Assumptions of One-way ANOVA are:

  1. The samples selected from each population are independent of each other.
  2. The population distribution of the dependent variables follow Normal distribution.
  3. The population variances are always equal for all the groups.

Thus, the correct option are: (A), (B), (C) and (E).

3 0
3 years ago
Find the distance between points (5,1) and (3,4) to the nearest tenth
Charra [1.4K]

Answer:

3.6 units (nearest tenth)

Step-by-step explanation:

distance formula

= \sqrt{(x1 - x2)^{2}  + (y1 - y2)^{2} }

Thus, distance between the 2 points

= √[(5 - 3)² + (1 - 4)²]

= √[ 2²+ ( - 3)²]

= √13

= 3.6 units (nearest tenth)

5 0
3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
QUESTION 14
Mice21 [21]

Answer: I think It's D

Step-by-step explanation: Comment if im right or wrong please

7 0
3 years ago
Triangle RSV is congruent to triangle TVS. Find x and y.
inn [45]

If these triangles are congruent, then side RS is congruent to side TV and that means that y = 4 - x. If y = 4-x, we can sub that into the next equation where side RV = side ST and 1 = 4x - y. If y = 4-x, we sub in accordingly to get 1 =4x - (4 - x). That simplifies to 1 = 4x - 4 + x which is, combining like terms, 5 = 5x. That means that x = 1. If x = 1, and y = 4 - x, then y = 4 - 1 and y = 3. There you go!

8 0
3 years ago
Read 2 more answers
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