All categories

2 years ago

Find the 73rd term of the arithmetic sequence -28, -41, -54, ...

Mathematics

1 answer:

PolarNik [594]2 years ago

3 0

Answer:

the 73rd term of the arithmetic sequence is -964.

Step-by-step explanation:

The common difference in this arithmetic sequence is 13. This is obtained by subtracting 28 from 41. The first term is a(1) = -28.

The arithmetic sequence formula is a(n) = a(1) + d(n - 1), where d is the common difference and -28 the first term.

Then, in this case, a(n) = -28 - 13(n - 1), and

a(73) = -28 - 13(73 - 1) = -964

You might be interested in

How do you solve 3(15.9 - 3.9)<br> Step by step? I need help

N76 [4]

Answer:

Step-by-step explanation:

3(15.9 - 3.9)

3 · (15.9 - 3.9)

3(15.9) - 3(3.9)

47.7 - 3(3.9)

47.7 - 11.7

5 0

3 years ago

Read 2 more answers

Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

8 0

3 years ago

PLZ HURRY! WILL GIVE BRAINELST! WORTH 100

Anit [1.1K]

Answer:

Could you screen-clip the question? I can't really understand.

Step-by-step explanation:

You can edit your question and I can edit my answer :)

~PumpkinSpice1

4 0

3 years ago

Read 2 more answers

Kenneth has a goal to work 287 hours each month at the pizza shop. So far he has worked 124

murzikaleks [220]

Answer:

163

Step-by-step explanation:

6 0

3 years ago

HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step

lana66690 [7]

Answer:

x + 6, y - 4

Step-by-step explanation:

The original image would be the blue triangle, so you need to see how many units it takes to get to the red triangle.

Let's focus on R and R'.

You need to move 6 units to the right, and 4 units down to get from R to R'.

It would then be the same for the other two points.

4 0

3 years ago