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kotykmax [81]
3 years ago
9

How do you find the nth to the quadratic sequence of 3,8,15,24,35

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Having the first term of the sequence 

<span>a<span>(0)</span>=3</span>

<span>a<span>(1)</span>=3+5=8</span> 

We realized that 

<span>a<span>(1)</span>=a<span>(0)</span>+2⋅2+1</span>

We also have :

<span>a<span>(2)</span>=a<span>(1)</span>+2⋅3+1=8+7=15</span> 

<span>a<span>(3)</span>=a<span>(2)</span>+2⋅4+1=15+9=24</span>

From above we can realize that each term is the sum of the previous

term and 2*(sequence coefficient added to 1) and 1

So the nth term will be:

<span>a<span>(n)</span>=a<span>(n−1)</span>+2⋅<span>(n+1)</span>+<span>1
</span></span>

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Solve the triangle m&lt;N= 118°, m&lt;P= 33° and m=15. Round to the nearest tenth. Please show work.​
kirill [66]

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

3 0
2 years ago
How to find the perimeter? And how to I do it
Veronika [31]

Answer:

multiply lenght x with

Step-by-step explanation:

3 0
2 years ago
What expression is not equal to 1/4 of 52?
dmitriy555 [2]
1/4 of 52 = 13.
you didn't list the options....


3 0
3 years ago
The circumference of a circle is 15 pie centimeters. What is the area of the circle in terms of pie
Jobisdone [24]

Answer:

C

Step-by-step explanation:

The circumference (C) of a circle = 2πr ← r is the radius

Given C = 15π the equating gives

2πr = 15π ( divide both sides by 2π )

r = \frac{15}{2} = 7.5 cm

The area (A) of a circle is calculated using the formula

A = πr² = π × 7.5² = 56.25π cm² → C

5 0
3 years ago
Read 2 more answers
birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i
vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

\tt \: \color{hotpink}simple \: interest \color{plum}=  \frac{principal \times rate \times time}{100}

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

= \tt \frac{500 \times 1.3 \times 4}{100}

= \tt \frac{2600}{100}

\color{plum} = \tt\bold{\$26}

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

=\tt 500 + 26

\color{plum} = \tt\bold{\$526}

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

\tt \: \color{hotpink}percentage \: of \:  change\color{plum} =  \frac{change}{original \: price}  \times 100

Which means :

Percentage of change in her savings account :

=\tt  \frac{26}{500} \times 100

=\tt  \frac{26 \times 100}{500}

=  \tt\frac{2600}{500}

\color{plum} = \bold{\tt\bold{5.2\%}}

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0
2 years ago
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