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3 years ago

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Mathematics

1 answer:

sertanlavr [38]3 years ago

5 0

Answer:

Step-by-step explanation:

The nth term of arithmetic sequence is $a_n=a_1+d(n-1)$

So:

$a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4$

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Create a formula to the sequence 2,8,14...

Colt1911 [192]

Answer:

$a_n = 2+6(n-1)$

Step-by-step explanation:

Explicit Arithmetic Formula: $a_n=a_1 + d(n-1)$

a₁ is 1st term in sequence

d is common difference

n is term number

Step 1: Find d

d = 8 - 2 = 6

Step 2: Plug in variables into formula

$a_n = 2+6(n-1)$

7 0

4 years ago

For the function y = x + 4, what is the output value if 3 is the input value?

Leya [2.2K]

According to the data given above; x= 3..

y=x+4
y=3+4
y=7

7 0

3 years ago

Solve for x. 5x^2 – 45 = 0

mamaluj [8]

5x^2-45=0

*Add 45 to both sides*

5x^2=45

*Divide both sides by 5*

x^2=9

*Take the square root of both sides*

x=+/-9

Hope this helps!!

3 0

4 years ago

Read 2 more answers

Write an equation in point slope form of the line that passes through the point (6,-5) and has the slope 1/2

babymother [125]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

$\huge y + 5 = \frac{1}{2} (x - 6) \\$

Hope this helps you

5 0

3 years ago

Read 2 more answers

What is the Slope of (1,0) and (7,4)

finlep [7]

Slope formula: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{4-0}{7-1}\\\\\frac{4}{6}\\\\\frac{2}{3}\\$

Your slope is 2/3

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

5 0

3 years ago