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sergeinik [125]
3 years ago
5

What is the value of the 24th term in the following arithmetic sequence? -9, -2, 5, 12, ... 152 -170 170 -200

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
8 0
In this sequence, the rule is +7.

-9 + 7 = -2
-2 + 7 = 5
5 + 7 = 12

So, to find the 24th term we can continue adding 7 until we reach the 24th term.

12 + 7 = 19
19 + 7 = 26
26 + 7 = 33
33 + 7 = 40
40 + 7 = 47
47 + 7 = 54
54 + 7 = 61
61 + 7 = 68
68 + 7 = 75
75 + 7 = 82
82 + 7 = 89
89 + 7 = 96
96 + 7 = 103
103 + 7 = 110
110 + 7 = 117
117 + 7 = 124
124 + 7 = 131
131 + 7 = 138
138 + 7 = 145
145 + 7 = 152

The 24th term in the sequence is 152.

3241004551 [841]3 years ago
7 0

I think the answer 152 or A!!

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The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>How to generate the numbers in the Collatz Conjecture</h3>

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

  • If the last number is odd, multiply it by 3 and add 1.
  • If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>Fibonacci sequence</h3>

The first and the second numbers are given as:

First = 2

Second = 5

The current term of a Fibonacci sequence is the sum of the previous two terms.

Using the above rule, the first 10 terms are:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

<h3>The sum of the first 10 terms of the new sequence</h3>

We have:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

Add the terms

Sum = 2+ 5+ 7+ 12+ 19+31+50+81+131+212

Evaluate

Sum = 550

Hence, the sum of the first 10 terms of the new sequence is 550

Read more about sequence at:

brainly.com/question/7882626

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2 years ago
You wish to compare the prices of apartments in two neighboring towns. You take a simple random sample of 12 apartments in town
Rom4ik [11]

Answer:

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Step-by-step explanation:

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Let \mu_1 = <u><em>true average price of apartments in town A</em></u>

\mu_2 = <u><em>true average price of apartments in town B</em></u>

So, Null Hypothesis, H_0 : \mu_1=\mu_2

Alternate Hypothesis, H_A : \mu_1\neq \mu_2  

The test statistics that have been used here is <u>two-sample t-test statistics</u>, i.e;

The test statistics given to us is 2.1

Now, the P-value of the test statistics is given by the following formula;

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In two-tailed test, P-value is calculated as = 2 \times 0.0236 = <u>0.0472</u>

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The sum of the interior angle measures in a regular polygon is 1260° . What is the measure of one of the interior angles of the
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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