find the 92nd term of the arithmetic sequence 8, 25, 42, .

the 92nd term of the arithmetic sequence 739

Step-by-step explanation:

In an arithmetic sequence, consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

an = a1 + (n - 1)d

Where

a1 represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 11

d = 19 - 11 = 8

n = 92

We want to determine the value of the 92nd term, a92. Therefore,

a92 = 11 + (92 - 1)8

a92 = 11 + 728

a92 = 739

  1555

Step-by-step explanation:

The n-th term is ...

  an = a1 +d(n -1)

where a1 is the first term (8), and d is the common difference (17). Then the 92nd term is ...

  a92 = 8 + 17(92 -1)

  a92 = 1555

The value of the 92nd term is 608.

In order to find this, you have to first find the equation of the sequence. In order to find that equation, first make two ordered pairs using x as what number it is in the sequence and y as the value. Therefore you have the following ordered pairs: (1, -29) and (2, -22). Given that, we can find the slope by using the slope formula below.

m (slope) = (y2 - y1)/(x2 - x1)

m = (-22 - -29)/(2 - 1)

m = 7/1

m = 7

Now that we have a slope of 7, we can find the intercept using slope intercept form and a point. We'll use (1, -29) as the point.

y = mx + b

-29 = 1(7) + b

-29 = 7 + b

-36 = b

Now that we have the slope and intercept, we can write the equation.

f(x) = 7x - 36

Now we can plug 92 in for x to find the answer.

f(92) = 7(92) - 36

f(92) = 644 - 36

f(92) = 608

The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The answer is in the image