All categories

3 years ago

Work out the formula for the nth term of the quadratic sequence: 19, 15, 9, 1...

Mathematics

2 answers:

Leto [7]3 years ago

5 0

Answer:

Tn = -n^2 - n + 21 is the formula for the nth term.

Step-by-step explanation:

The second differences are all equal in this quadratic sequence.

Now, the quadratic sequence has a formula of Tn = an^2 + bn + c

Find the value of a in an^2 by dividing the difference by 2:

-2/2 = -1

a = -1

Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:

b + c = 20

2b + c = 19

Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21

STALIN [3.7K]3 years ago

5 0

Answer:

Tn = -n^2 - n + 21

You might be interested in

Some racquet balls are sold in cylindrical cans of three balls. Each ball has a diameter of 2.25 inches. The can has a diameter

kicyunya [14]

Volume of 1 ball = 4/3 π r³ = 4/3 (3.14) (2.25 ÷ 2)³ = 5.961 in³

Volume of 3 balls = 5.961 x 3 = 17.883 in³

Volume of cylinder = πr²h = (3.14) (2.25 ÷ 2)² (6.75) = 26.825 in³

Empty Space = 26.825 - 17.883 = 8.94 in³ (nearest hundredth)

Answer: 8.94 in³

8 0

4 years ago

Read 2 more answers

By rounding each number to 1sf estimate the answers to 8.2*6.7/ 0.46

LiRa [457]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$8.2\times \frac{6.7}{0.46}$

$\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=\frac{6.7\times \:8.2}{0.46}$

$\mathrm{Multiply\:the\:numbers:}\:6.7\times \:8.2=54.94$

$=\frac{54.94}{0.46}$

$=100$ (Round to 1 significant number)

8 0

3 years ago

Read 2 more answers

Find the value of x<br> X+8 =5x-4

Tatiana [17]

Answer:

I'm pretty sure the value of it is 3

4 0

3 years ago

Read 2 more answers

Using the graph as an aid, which statement describes a true relationship between the x-intercepts and the zeros? A) The x-interc

Genrish500 [490]

Answer: A) The x-intercepts and the zeros are the same value.

Step-by-step explanation:

because when graphing the line goes through the origin and the origin is zero.

4 0

3 years ago

Miss Williams asked her class if they prefer doing their homework before school or after school if the ratio of students who pre

fredd [130]

IT means that the students prefer doing homework after school more than before school!
<span>7 / 22 = 31.818181818182%
</span>
HOPE I HELPED!

~Tomas

6 0

4 years ago

Read 2 more answers