Ask question

Ask question

All categories

liberstina [14]

3 years ago

12

Find the first four (4) terms of the sequence if An=(4) an-1 and a1 =3

1 answer:

NNADVOKAT [17]3 years ago

6 0

Answer:

3, 12, 48, 192

Step-by-step explanation:

To find the first 4 terms substitute n = 2, 3, 4 into the recursive formula, that is

a₂ = 4a₁ = 4 × 3 = 12

a₃ = 4a₂ = 4 × 12 = 48

a4 = 4a₃ = 4 × 48 = 192

Thus the first 4 terms of the sequence are 3, 12, 48, 192

You might be interested in

PLEASE HELP! Math (recursive sequences)

stira [4]

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

6 0

2 years ago

1-25. Given f(x) =- 2/3x +3 and g(x) = 2x2 - 5, complete parts (a) through (f).

Korolek [52]

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

$f(x)=-\frac{2}{3x}+3$

a) $f(3)=-\frac{2}{2(3)} +3$

$=-\frac{1}{3}+3$ $=\frac{-1+6}{3}$ $=\frac{5}{3}$

b) $f(x)=-5$

$-5=-\frac{2}{3x}+3$

$-8=-\frac{2}{3x}$

$-24x=-2$

$x=\frac{1}{12}$

$g(x)=2x-5$

c) $g(-3)=2(-3)-5$

$=-6-5$

$=-11$

d) $g(x)=-7$

$-7=2x-5$

$-2=2x$

$x=-1$

e) $g(x)=8$

$8=2x-5$

$12=2x$

$x=6$

f) $g(x)=9$

$9=2x-5$

$11=2x$

$x=\frac{11}{2}$

3 0

3 years ago

Colin’s piano lesson is 45 minutes, or 3/4 of an hour, long. If he practices 6 different songs and spends an equal amount of tim

frosja888 [35]

Answer: $\frac{1}{8}$ hour

Step-by-step explanation:

Given: The total time Collin spent on 6 songs = $\frac{3}{4}\text{ hour}$

Now, the fraction of an hour does he spend practicing each song is given by :-

$\frac{\text{Total time taken}}{\text{Total songs}}=\frac{\frac{3}{4}}{6}=\frac{3}{4\times6}=\frac{1}{8}\text{hour}$

The fraction of an hour does he spend practicing each song= $\frac{1}{8}$

5 0

2 years ago

Read 2 more answers

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Rus_ich [418]

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

6 0

2 years ago

1+2^2 for brainliest + 40 points

IrinaK [193]

Answer:

5

Step-by-step explanation:

u do 2x2 cuz of the square root and add the 1

5 0

2 years ago