All categories

2 years ago

What is the general term for the sequence 1,6,11,16,...? n + 5 5n - 4 5n + 1

Mathematics

2 answers:

vekshin12 years ago

8 0

Answer:

Step-by-step explanation:

The given sequence is:

1,6,11,16,...

Since, the sequence is Arithmetic progression, therefore

The general term for the sequence is:

$A_{n}=a+(n-1)d$

where a is the first term of the sequence and d is common difference.

Substituting the given values, we get

$A_{n}=1+(n-1)5$

$A_{n}=1+5n-5$

$A_{n}=5n-4$

which is the required general term.

Thus, option B is correct.

juin [17]2 years ago

4 0

5n-4
Just plug numbers into it. Make this a table.
n 0 1 2 3
y 1 6 11 16

You might be interested in

Find the sum of the following

Arisa [49]

1) 23
2) -20
3) 2
4) -28
5) -11

6 0

2 years ago

The current in a simple electric circuit varies inversely as the resistance. If the current is 20amps when the resistance is 5 o

IrinaVladis [17]

Answer:

0.5amps

Step-by-step explanation:

I is inversely proportional to resistance

I = k/R

k = I/ R

k = 20/5

k = 4

This means that, I = 4/R

So, when R = 8ohms,

I = 4/8

=0.5amps

3 0

2 years ago

Which is a y-intercept of the graphed function? (–9, 0) (–3, 0) (0, –9) (0, –3)

Inessa05 [86]

Answer:

The y-intercept of the graphed function is (0,-9)

Step-by-step explanation:

The y-intercept of the graphed function is (0,-9) because the y-intercept is where the point where the line meets with the y-axis, and the point where the line meets with the y axis is (0,-9)

Therefore the answer is

(0,-9)

I hope this helped you.

4 0

2 years ago

Read 2 more answers

Help!! These graph questions will drive me crazy

koban [17]

Answer:

Step-by-step explanation:Use math papa.com it will help you with graphs

6 0

3 years ago

According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif

suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

$\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018$

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

$z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55$

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

$P(0.79$

3 0

2 years ago