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2 years ago

Determine whether the following sequences are arithmetic. If so, identify the common

Mathematics

1 answer:

Semmy [17]2 years ago

3 0

Answer:

Yes the sequence is arithmetic

The common difference is 6

Step-by-step explanation:

Determine whether the following sequences are arithmetic. If so, identify the common difference.

9, 15, 21, 27, ...

The sequence given in the above question is arithmetic because it follows the formula

Un = a + (n -1)d

Where

a= First term

n = Number of terms

d = Common difference

The common difference is calculated as the

Second term - First term

15 - 9

= 6

or the Third term - Second term

21 - 15

= 6

or the Fourth term - Third term

= 27 - 21

= 6

Therefore, the Common difference = 6

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How is this proportional?

Alja [10]

Answer:

you are subtracting 1.40 everytime to get the number at the bottom

Step-by-step explanation:

2 - 1.40 = 1.40

3 - 1.40 = 2.40

6 - 1.40 = 5.40

7 - 1.40 = 6.40

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2 years ago

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

VladimirAG [237]

First, we start off with the nth term formula for an arithmetic sequence, which is
$a_{n} =a_{1}+(n-1)d$

plug in the sequence numbers where they belong

$a_{n}=5+(n-1)*(-4)
$
$a_{n}=5+(-4n+4)$
$a_{n}=5-4n+4$
$a_{n}=-4n+9$

And this is the final answer
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2 years ago

7/8 = /48 A. 1 B. 6 C. 42 D. 13

Vsevolod [243]

7/8 = x/48

Cross multiply, which is: a/b = c/d ⇒ ad = bc

After cross multiplying, we get:

8x = 7(48)

8x = 336

Divide 8 on both sides

x = 42

Your final answer is B. 42.

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3 years ago

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EleoNora [17]

Answer:

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2 years ago

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Find q. Write your answer in simplest radical form.

yawa3891 [41]

Answer:

q=90 units.

Step-by-step explanation:

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2 years ago