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3 years ago

I really need help with this

Mathematics

1 answer:

marysya [2.9K]3 years ago

7 0

I believe it is the first one

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Find the fifth term in the sequence that is defined as follows a1=1. An=3an-1+2

faltersainse [42]

The fifth term in the sequence would be 161.

Step-by-step explanation:

We have to find the fifth term in the sequence $an=3a(n-1)+2$

Given that

a1 = 1 (that is the first term)

If we follow the formula, the value of every term depends on the value of immediate lower term. Therefore, the a2 can be calculated by putting 2 in place of n in above equation

$a2=3a(2-1)+2$

$a2=3a1+2$

$a2=3(1)+2$ as a1 = 1

$a2=5$

Similarly,

$a3=3a(3-1)+2$

$a3=3a2+2$

$a3=3(5)+2$ as a2 = 5

$a3=17$

and

$a4=3a(4-1)+2$

$a4=3a3+2$

$a4=3(17)+2$ as a3= 17

$a4=53$

and

$a5=3a(5-1)+2$

$a5=3a4+2$

$a5=3(53)+2$ as a4 = 53

$a5=161$

Therefore, the fifth term in the sequence would be 161.

Learn more:

The following links have more information about sequencing

brainly.com/question/7221312

Keywords: sequence, arithmetic series

#learnwithBrainly

6 0

3 years ago

3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and th

Elza [17]

The amount he invested in the account that yields 4.5% interest is $7,500.

The amount he invested in the account that yields 2.5% interest is $12,500.

<h3>What is the system of equations that represent the question?</h3>

a + b = $20,000 equation 1

0.045a + 0.025b = $750 equation 2

Where:

a = amount he invested in the account that yields 4.5% interest

b = amount he invested in the account that yields 2.5% interest

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Multiply equation 1 by 0.025

0.025a + 0.025b = 500 equation 3

Subtract equation 3 from 2

250 = 0.02a

a = 12,500

<h3>How much was invested in the account that yields 4.5% interest?</h3>

Subtract 12,500 from 20,000

20,000 - 12,500 = $7,500

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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2 years ago

Change 39 square yard to feet

Vladimir79 [104]

Answer:

351 squared feet

Step-by-step explanation:

multiply by 9

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Identify the coordinates of the vertices of the polygon.Identify the coordinates of the vertices of the polygon.

tangare [24]

Answer:

Step-by-step explanation:

The coordinates are (3,5),(7,-3),(0,-5),(-3,-4) and (-6,1). So the correct option is A

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3 years ago

Which of the following equations is equivalent to b' = x?

vivado [14]

Answer:

It is A

Step-by-step explanation:

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