Determine the recursive formula for the sequence 10, -30, 90, -270, ...

y = 10 * (-3)^x

Step-by-step explanation:

Let's divide this by 10, so y=10a,

a = 1, -3, 9, -27

It looks like there's an alternating plus and minus, which can be dealt with using a = (-1)^b. Now,

b = 1, 3, 9, 27

this is the powers of 3! the equation b=3^x should satisfy this!

Now we can put our answers together:
y = 10*(-1)^(3^x)

y = 10 * (-3)^x

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497