Find an expression for the nth term (tn) in each of the following sequence: 2, 6, 10, 14, 18…

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Work Shown:

The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.

Which is the answer.

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If you were to plug in say n = 3, then we get

showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: