Im stupid and just need these 2 questions ! will give brainliestthe ordered pairs model an exponential function, where j is the function name and e is the input variable.{(1, 10), (2, 50), (3, 250 ), (4, 1250)}what is the function equation in sequence notation? enter your answer in the box. je=what is the explicit rule for the sequence? 13, 10.5, 8, 5.5, 3, 0.5,  an=15+2.5n an=15.5+2.5n an=15−2.5n an=15.5−2.5n

f(n) = 10 * 5^(n-1)

an = 15-2.5n

Step-by-step explanation:

{(1, 10), (2, 50), (3, 250), (4, 1250)}

The formula for a geometric sequence is

an = a1 * r ^(n-1)

where a1 is the first term and r is the rate in which it increase

a1 =10

r = 5,  each term goes up by a factor of 5

50/10 = 5

250/50 = 5

etc

f(n) = 10 * 5^(n-1)

What is the explicit rule for the sequence?

13, 10.5, 8, 5.5, 3, 0.5, ...

For an arithmetic sequence the formula is

an = a1 + d(n-1)

where a1 is the first term and d is the common difference

a1= 13 and d = -2.5

10.5 -13 = -2.5

8. - 10 = -2.5

etc

an = 13 - 2.5 ( n-1)

Simplifying

an = 13 -2.5n + 2.5

an = 15-2.5n

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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