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Blababa [14]
3 years ago
12

The second term of an arithmetic sequence is 13 and the fourth term is 7.

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Answer:

<h3>                 \bold{a_{13}=52}</h3>

Step-by-step explanation:

d=a_4-a_3=a_3-a_2\\\\a_3-a_2=a_4-a_3\\\\2a_3=a_2+a_4\\\\2a_3=13+7\\\\2a_3=20\\\\a_3=10\\\\d=10-13=-3\\\\\\a_2=a_1+d\quad\implies\quad a_1=a_2-d=13-(-3)=16\\\\a_n=a_1+d(n-1)\\\\a_{13}=16+(-3)(13-1)=16+36=52

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3 years ago
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pickupchik [31]

Answer:

Step-by-step explanation:

or

Step-by-step explanation:

has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

--------------------------------------------------

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

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Multiply both sides by c gives:

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The vertical shift is -2 so d=-2.

The equation could either be:

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y=-2cos(2x+1/4)-2

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3 years ago
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