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3 years ago

Describe the relationship between the terms in each arithmetic sequence. Then

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

$0,9,18,27$

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

$d = T_n - T_{n-1}$

Take n as 2

$d = T_2 - T_{2-1}$

$d = T_2 - T_{1}$

Where

$T_2 = 9\ and\ T_1 = 0$

$d =9-0$

$d =9$

<em>The relationship is: The sum of the previous term and 9</em>

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

$Next\ Term = 27 + 9 = 36$

$Next = 36 + 9 = 45$

$Next = 45 + 9 = 54$

Hence, the next three terms are: 36, 45 and 54

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The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

<h3>What is the chi-squared test statistic?</h3>

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

$\sum \frac{(O_i-E_i)^2}{E_i } \\\\$

Where,

$\rm O_i$ is the observed value

$\rm E_i$ is the expected value

The chi-square test statics is;

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