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3 years ago

2.) Write the following statement in if-then form.

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

Answer:

If you're a freshman then you're required to attend the orientation

Step-by-step explanation:

Given

Statement: All freshman are required to attend orientation.

Required

Write as an if-then form

First, we need to split the given statement

1: All freshman

2: Attend orientation.

Next, is to convert to if-then:

If you're a freshman then you're required to attend the orientation

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4 years ago

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3 years ago

Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

3 years ago