All categories

3 years ago

What are the first three terms of the sequence...plz help pt.1

Mathematics

2 answers:

svetlana [45]3 years ago

8 0

$a_{n} \: = \: 2(a_{n - 1})^{2} \\ a_{1} = 4 \: (given) \\ a_{2} = \: 2(a_{2 - 1})^{2} \\ = 2(a_{ 1})^{2} \\ = 2 \times {4}^{2} \\ = 32 \\ \\ a_{3} = \: 2(a_{3 - 1})^{2} \\ = 2(a_{ 2})^{2} \\ = 2 \times {32}^{2} \\ = 2 \times 1024 \\ = 2048$

so first 3 terms are

4, 32, 2048

Vitek1552 [10]3 years ago

3 0

Answer:

The correct answer is option 3

4, 32, 2048

Step-by-step explanation:

It is given that,

a₁ = 4

aₙ = 2(aₙ₋₁)²

To find the second term

we have, aₙ = 2(aₙ₋₁)²

a₁ = 4

a₂ = 2(a₁)² = 2(4)² = 2 * 16 = 32

To find the third term

aₙ = 2(aₙ₋₁)²

a₂ = 32

a₃ = 2(a₂)² = 2(32)² = 2 * 1024 = 2048

Therefore the first three terms of the sequence are,

4, 32, 2048

The correct answer is option 3

You might be interested in

Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big en

Simora [160]

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

6 0

3 years ago

Ian often buys in large quantities. A few months ago he bought several cans of frozen orange juice for $24. The next time Ian pu

ANEK [815]

For the answer to the question above asking, what was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is the next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve,
 .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is
241 cans of juice

4 0

3 years ago

Consider The following pair of equations the two equations are graft at what point do the lines representing the two equations i

ANEK [815]

Answer:

Step-by-step explanation:

hope this helps please brainiest

4 0

3 years ago

CALCULUS EXPERT WANTED

Vlad [161]

a. Use the mean value theorem. 16 falls between 12 and 20, so

$v'(16)\approx\dfrac{v(20)-v(12)}{20-12}=\dfrac{240-200}8=5$

(Don't forget your units - 5 m/min^2)

b. $v(t)$ gives the Johanna's velocity at time $t$ . The magnitude of her velocity, or speed, is $|v(t)|$ . Integrating this would tell us the total distance she has traveled whilst jogging.

The Riemann sum approximates the integral as

$\displaystyle\int_0^{40}|v(t)|\,\mathrm dt=12\cdot200+8\cdot240+4\cdot220+16\cdot150=7600$

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of $|v(t)|$ is determined by the value of $v(t)$ at each sample point, 200, 240, |-220| = 220, and 150.

c. Bob's velocity is given by $B(t)$ , so his acceleration is given by $B'(t)$ . We have