All categories

4 years ago

Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.

2 answers:

7 0

This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.

Maslowich4 years ago

6 0

Answer:

189

Step-by-step explanation:

1. Formula

A(n) = a + (n - 1)d

term number: n

first term: a

common difference: d

2. Solve

A(n) = 9 + (31 - 1)6

31 - 1 = 30

A(n) = 9 + 30 x 6

30 x 6 = 180

A(n) 9 + 180 = 189

You might be interested in

Simplify<br>6^7/6^5<br>leaving your answer in index form.

Juli2301 [7.4K]

Answer:

Step-by-step explanation: the and is 36.

8 0

3 years ago

A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106

andreyandreev [35.5K]

Answer:

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

Volume of the silo = Volume of a cylinder = $\pi$ $r^{2}$ h

Where: r is the radius of the silo, and h is the height.

Given that: volume = 2106 cubic feet, and height = 20 feet.

Then,

2106 = $\frac{22}{7}$ x $r^{2}$ x 20

2106 = $\frac{440}{7}$ $r^{2}$

2106 x 7 = 440 $r^{2}$

14742 = 440 $r^{2}$

$r^{2}$ = $\frac{14742}{440}$

$r^{2}$ = 33.5045

⇒ r = $\sqrt{33.5045}$

= 5.78831

r = 5.788 feet

The radius of the silo is 5.788 feet.

5 0

3 years ago

Trevon made 24 of the 40 free throws he attempted last season. What

liraira [26]

Answer:

60%

Step-by-step explanation:

24/40 = .6 x 100 = 60

8 0

2 years ago

How to find out the independent variable and dependent variable from a graph?

I am Lyosha [343]

Answer:

The Axes. The independent variable belongs on the x-axis the(horizontal line) of the graph and the dependent variable belongs on the y-axis the (vertical line)

6 0

3 years ago

Solve the following radical equations. 5√x−6=−20 Answer choices: x=−10 x=10 x=22 No solution

myrzilka [38]

Answer:

Step-by-step explanation:

$5 \sqrt{x} -6=-20$