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WITCHER [35]
3 years ago
15

Find the first four terms of the sequence An=2a n-1,where a1=3

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence a_{n}=2a_{n-1}

where a_{1}=3 to find them do that

  • Substitute n by 2 in the rule to find a_{2}
  • Substitute n by 3 in the rule to find a_{3}
  • Substitute n by 4 in the rule to find a_{4}

∵ a_{n}=2a_{n-1}

- Substitute n by 2 to find the 2nd term

∴ a_{2}=2a_{2-1}

∴ a_{2}=2a_{1}

∵ a_{1}=3

∴ a_{2}=2(3)

∴ a_{2}=6

- Substitute n by 3 to find the 3rd term

∴ a_{3}=2a_{3-1}

∴ a_{3}=2a_{2}

∵ a_{2}=6

∴ a_{3}=2(6)

∴ a_{3}=12

- Substitute n by 4 to find the 4th term

∴ a_{4}=2a_{4-1}

∴ a_{4}=2a_{3}

∵ a_{3}=12

∴ a_{4}=2(12)

∴ a_{4}=24

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

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Murrr4er [49]

The zero of a function is the x-value at which the function value is zero. That is, the value of the function that intersects the x-axis. From the picture, the zero is -5

4 0
1 year ago
The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews
RoseWind [281]

Answer:

there are 161 calories in 28 gram,then:

one gram of dry roasted cashews contains=161/28=5.75 calories

You eat 12 gram of it, =12*5.75=69 calories


9 cashews  has 12gram, then:

one gram of dry roasted cashews contains= 9/12 = 0.75 cashews

there are total of 28gram in one serving.

Therefore cashews in one serving = 0.75*28=21cashews

a)69 calories

b)21cashews

4 0
3 years ago
1. The sum of a two-digits number is 13. The tens digit is 8 less than twice the units digit. What is the number?
alexgriva [62]

Answer:

<u>The number is 67</u>

Step-by-step explanation:

<u>Equations</u>

Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.

Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that

Number=10*a+b

The question gives us two conditions:

1) The sum of a two-digits number is 13.

2) The tens digit is 8 less than twice the units digit.

The first condition can be expressed as:

a + b = 13                     [1]

And the second condition can be written as:

a = 2b-8                      [2]

Replacing [2] into [1], we have:

2b-8 + b = 13

Operating:

3b = 13 + 8

3b = 21

Solving for b:

b = 21 / 3 = 7

Substituting into [2]:

a = 2*(7) - 8 = 6

Thus, the number is 67

3 0
3 years ago
the probability of a number cube landing on 4 is 1/6 if a number cube is tossed 12 times how many times can it be expected to la
oksano4ka [1.4K]
The answer is twice, because 1/6 of 12 is 2
7 0
3 years ago
X=6<br> is a solution to the inequality x−5≤ 10<br><br> True or False?
vekshin1

Answer:

  • \boxed{\sf{FALSE}}
  • \boxed{\sf{x\leq 15}}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>x-5≤10</h3>

<u>First, add by 5 from both sides.</u>

\sf{x-5+5\leq10+5}

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

\sf{10+5=15}

\Longrightarrow: \boxed{\sf{x\leq 15}}

  • <u>Therefore, the solution is x≤15, which is our answer.</u>

I hope this helps you! Let me know if my answer is wrong or not.

6 0
2 years ago
Read 2 more answers
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