All categories

4 years ago

What is the recursive formula for the sequence? 8, 6, 4, 2, 0, . . .

Mathematics

1 answer:

e-lub [12.9K]4 years ago

3 0

Step-by-step explanation:

Here 6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2

Thus, the common difference between any two consecutive term is - 2.

The recursive formula is given as:

$f(1)=a_1 = 8\\\\f(2)=a_2 = a_1 - 2\\\\f(3)=a_3 = a_2 - 2\\\\f(4)=a_4 = a_3 - 2\\\\f(5)=a_5 = a_4 - 2\\\\\therefore f(n) = a_n=a_{n-1}-2 \\$

You might be interested in

Which system of equations is represented in the graph?

joja [24]

Answer:d

Step-by-step explanation:

grugsfhijgefgjbv ya nij

3 0

3 years ago

radio signals travel at a rate of 3 x 10^8 meters per second. how many seconds will it take for a radio signal to travel from a

zvonat [6]

Answer:

$time=1.2\times 10^{-1}\ second$

Step-by-step explanation:

Given:

The speed of the radio is $3\times 10^{8}$ meters per second.

The distance of the satellite from the earth is $3.6\times 10^{7}$ meter

The formula of the speed is

$speed = \frac{distance}{time}$

For time the formula is.

$time = \frac{distance}{speed}$

put distance and speed value in above equation.

$time = \frac{3.6\times 10^{7}}{3\times 10^{8}}$

$time = \frac{1.2 x 10^{7}}{10^{8}}$

$time=1.2\times 10^{7}\times 10^{-8}$

$time=1.2\times 10^{7-8}$

$time=1.2\times 10^{-1}\ second$

Therefore, the radio will be take the time is $1.2\times 10^{-1}\ second$ or 0.12 seconds.

6 0

4 years ago

(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Natali5045456 [20]

Answer:

$-x^2+24x-70$

Step-by-step explanation:

$(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70$