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3 years ago

Given a sequence is defined by the explicit definition t_n= n^2+nt n = n 2 + n, find the 4th term of the sequence. (i.e. t_4t 4)

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

<em>*100% CORRECT ANSWERS</em>

kykrilka [37]3 years ago

5 0

Answer:

Question 1: 20

Question 2: 27

Step-by-step explanation:

Question 1:

Given a sequence is defined by the explicit definition $t_{n} = n^{2} + n$

Therefore, the 4th term i.e. $t_{4} = 4^{2} + 4 = 20$ (Answer)

So, the third option is correct.

Question 2:

Given a sequence is defined by the explicit definition $t_{n} = 2^{n} - n$

Therefore, the 5th term i.e. $t_{5} = 2^{5} - 5 = 27$ (Answer)

So, the third option is correct.

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Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would

Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

$56656.04 = \pi {r}^{2}$

Divide both sides by π

We have

${r}^{2} = \frac{56656.04}{\pi}$

Find the square root of both sides

$r = \sqrt{ \frac{56656.04}{\pi} }$

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

3 0

3 years ago

The answers on how I do these problems the correct way

dimulka [17.4K]

Step-by-step explanation:

so what you need to do is answer the questions with () and then do the other part

8 0

3 years ago

Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.

4vir4ik [10]

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

7 0

3 years ago

Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

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3 years ago

What is the ricipricol of7/9

GuDViN [60]

The reciprocal would be 9/7 because a reciprocal is when you flip a fraction and put the denominator as the numerator and vice versa.

5 0

3 years ago

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