All categories

2 years ago

What is the explicit formula for the sequence 7,2,-3,-8,-13

2 answers:

eduard2 years ago

8 0

You could say that a(n) = 12 - 5n .

Then ...

a(1) = 12 - 5 = 7
a(2) = 12 - 10 = 2
a(3) = 12 - 15 = -3
and so on.
So it seems to work.

Contact [7]2 years ago

4 0

7, 2, -3, -8, -13
-5 -5 -5 -5

a(n) = a₁ + d(n - 1)
a(n) = 7 - 5(n - 1)
a(n) = 7 - 5(n) + 5(1)
a(n) = 7 - 5n + 5
a(n) = -5n + 7 + 5
a(n) = -5n + 12

You might be interested in

13.79-x for x=2.54 What is the answer

schepotkina [342]

Answer:

11.25

Step-by-step explanation:

13.79-x

Let x= 2.54

13.79-2.54

11.25

3 0

3 years ago

Read 2 more answers

If the pictured triangles are congruent what reason can be given

Vaselesa [24]

Answer:

sss(personal opinion)

3 0

2 years ago

Please help ASAP If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x) b.) (gof) (-2)

Rudik [331]

$\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}$

$\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}$

______

$\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}$

______

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559

$\large\textsf{I hope this helps. :-)}$

Tags: composite function composition evaluate algebra

7 0

2 years ago

HELP me pleaseeeee please

siniylev [52]

Answer:

the answer is C (0, -9)

Step-by-step explanation:

to find y-intercept we need to keep the value x=0

in the given equation

6 0

2 years ago

How do you write 0.3 in word form

Marizza181 [45]

Its three tenths my guy

8 0

3 years ago

Read 2 more answers