All categories

3 years ago

Find an equation for the nth term of the arithmetic sequence.

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

Answer:

Option B.

Step-by-step explanation:

The given arithmetic sequence is

$-13,-8,-3,2,...$

We need to find the nth term of the given arithmetic sequence.

Here,

First term : $a=-13$

Common difference : $a_2-a_1=-8-(-13)=-8+13=5$

The nth term of an arithmetic sequence is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

Substitute a=-13 and d=5 in the above formula.

$a_n=-13+(n-1)5$

$a_n=-13+5(n-1)$

Therefore, the correct option is B.

vekshin13 years ago

5 0

The answer is the second answer choice, an = -13 + 5(n - 1)

You might be interested in

Please help me on this question

serious [3.7K]

Answer:

The answer is A

Step-by-step explanation:

$\frac{1 \times 3}{2 \times 3} = \frac{3}{6} \\ \\ \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$

5 0

3 years ago

Isabel is riding on a bike course that is 36 miles long. So far , she has ridden 9 miles of the course. What Percentage of the c

Margaret [11]

This is one fourth of the course, so 25%.

4 0

3 years ago

Read 2 more answers

I'm can't seem to find a common base.<br><br> I know the answer's x=4 but I thought it was x=0.

EleoNora [17]

64^x = 256 * 16^x

2^6x = 2^8 * 2^4x

2^6x = 2^(4x+8)

6x = 4x +8

2x = 8

x = 4

7 0

3 years ago

Two vectors A⃗ and B⃗ have magnitude A = 2.93 and B = 3.00. Their vector product is A⃗ ×B⃗ = -4.95k^ + 1.94 i^. What is the angl

Klio2033 [76]

Answer:

Angle is 37.21 degree

Step-by-step explanation:

Given Data

|A|=2.93

|B|=3.00

A×B=-4.95k+1.94i

Angle=?

Solution

|A×B|=|A|×|B|Sinα

First for |A×B|

|A×B|= $\sqrt{x^{2}+y^{2} }$

|A×B|= $\sqrt{(-4.95)^{2}+(1.94)^{2} }$

|A×B|=5.316

|A×B|=|A|×|B|Sinα

Sinα= $\frac{|A*B|}{|A||B|}$

Sinα= $\frac{5.316}{8.79}$

α=37.21 degree

4 0

3 years ago

I am bad at geometry please help

VashaNatasha [74]

Answer:

3.9 in^2

Step-by-step explanation:

Split it up into a top rectangle and a bottom rectangle. Find the area of the top rectangle and subtract the combined area of the two quarter circles.

The area of the rectangle is 6 * 3 = 18. The area of the two quarter circles is the same as the area of one semicircle, and since the radius is 3 you can do:

3^2 * pi / 2 = 9pi/2. As a decimal this would be: 14.14.

Then, you can do rectangle - circle = 18 - 14.14 = 3.86. Rounded to the nearest tenth, this is 3.9

4 0

3 years ago