12, 17, 22... find the 35th term

Mathematics

1 answer:

Leno4ka [110]3 years ago

3 0

Answer:

a₃₅ = 182

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 12 = 22 - 17 = 5

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 , then

a₃₅ = 12 + (34 × 5) = 12 + 170 = 182

You might be interested in

Find P(x)=... polynomial

Aneli [31]

Answer: D) P(x) = -23

Step-by-step explanation:

Substitute 2 for x:

1 - 2(2)^2-3(2)^2+4(2)

Exponent

1-2(4)-3(8)+4(2)

Multiply

1-8-24+8

Combine like terms

-23

<em>Hope it helps <3</em>

3 0

3 years ago

The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? St

lianna [129]

Answer:

Null hypothesis: u = 8.8 liters

Alternative hypothesis: u < 8.8 liters

Step-by-step explanation:

The null hypothesis is always opposite to Tue alternative hypothesis and is the default hypothesis.

In this case study, the null hypothesis is that the average American consumes 8.8 liters of alcohol per year: u = 8.8

The alternative hypothesis is that does the average American consumes less than 8.8 liters of alcohol per year: u < 8.8 liters

5 0

3 years ago

Here's a graph of a linear function. Write the

bazaltina [42]

Answer:

Step-by-step explanation:

The formula is y = mx + b

m being the slope, rise over run. And b being the y-intercept. Right off the bat we can visually see the y-intercept is -4.

To find slope, we need to take two sets of coords and apply the slope fomula. The slope fomula is change in y divided by the change in x. The function itself is straight, so that means the slope will be the exact same no matter which points you choose.

(4, -1) and (8, 2) are coords on the line. Do 2 - (-1) to get 3. then do 8 - 4 to get 4. Finally, we just gotta do 3/4 which is simply $\frac{3}{4}$ .