Find a formula for the nth term of the arithmetic sequence:
first term -12
common difference 4

Step-by-step explanation:

The generic formula for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where an is the n-th term and a1 is the first term.

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Here, you have a1 = -12 and d = 4. Putting these numbers into the formula gives you what you are asking for:

  an = -12 +4(n -1)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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step-by-step explanation:

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