Find an explicit formula for a sequence of the form a1, a2, a3, with the initial terms given below. 0, − 1 2 , 2 3 , − 3 4 , 4 5 , − 5 6 , 6 7

t(n) = (-1)^n * n/(n+1)

Step-by-step explanation:

First thing I'd say is that, the denominator happens to always be 1 more than the numerator including the the first term, which is 0/1

For that, we'd say the numerator = n, and since the denominator is 1 more than, we say it is = n + 1.

Then again, there is an alternating negative sign, that comes after every 2 terms. Note that when n is odd, the terms happen to be negative, but then, when n is even, the terms are positive.

Take a look at (−1)n, the exact same thing happened, and thus, we multiply each term by (−1)n so as to get the alternating negative sign.

Ultimately, we say that each term is in the form of

t(n) = (-1)^n * n/(n+1), Where n ≥ 0

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2