3 years ago

11

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

1.5 because it is the average of the two middle numbers in this scenario.

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Answer:

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Decimal = -0.77777...….

Step-by-step explanation:

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An athletic field is a 42 yd-by-84 yd rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr

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Write an equation for the nth term of<br> the arithmetic sequence: <br> 15,28,41 ....

11111nata11111 [884]

Answer:

The equation for the nth term of the given arithmetic sequence is: $\mathbf{a_n=13n+22}$

Step-by-step explanation:

We need to write an equation for the nth term of the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: $a_n=a_1+(n-1)d$

Where $a_n$ is the nth term, $a_1$ is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

$a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13$

So, the common difference d is 13

Now, equation for nth term will be:

$a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2$

So, the equation for the nth term of the given arithmetic sequence is: $\mathbf{a_n=13n+22}$

where n=1,2,3..

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2 years ago