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3 years ago

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...

Mathematics

1 answer:

kvv77 [185]3 years ago

7 0

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

$a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16$

In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.

So,

$d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3$

As we can see that the common difference is same for consecutive terms.

The given sequence is an arithmetic sequence.

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Answer: a) $\dfrac{3}{874}$

b) $\dfrac{30}{3059}$

c) $\dfrac{3575}{12236}$

Step-by-step explanation:

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Number of faculty members : 13

Total persons : $11+13=24$

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$^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596$

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Then , the probability of selecting a jury of all students :-

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2 years ago

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...​

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...