All categories

3 years ago

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

1 answer:

4 0

Having the first term of the sequence

a(0)=3

a(1)=3+5=8

We realized that

a(1)=a(0)+2⋅2+1

We also have :

a(2)=a(1)+2⋅3+1=8+7=15

a(3)=a(2)+2⋅4+1=15+9=24

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:

a(n)=a(n−1)+2⋅(n+1)+1

You might be interested in

Solve the triangle m<N= 118°, m<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:

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