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nevsk [136]
3 years ago
15

1/6(a+12)= -4 please help because I don’t understand this

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

a=-36

Step-by-step explanation:

1/6(a+12)=-4

1) Distribute <u>1/6</u> to a and 12:

1/6a+2=-4

2) Subtract 2 from both sides:

1/6a=-6

3) Multiply both sides by the reciprocal of 1/6: (6/1)

a=-36

Let me know if you have any confusion on how I reached the solution :)

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Step-by-step explanation:

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3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

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