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2 years ago

Which term in the arithmetic sequence 11, 4,-3 . . . is -129?

Mathematics

1 answer:

telo118 [61]2 years ago

4 0

Answer:

23rd term

Step-by-step explanation:

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Find the missing term in the following sequence ? 1, 4, 11, 26, 57, 120, ______

Marysya12 [62]

Answer:

247

Step-by-step explanation:

1,4,11,26,57,120. see the pattern that emerges from the series:

4–1 = 3; 3–1 = 2 = 2^1

11–4 = 7; 7 - 3 = 4 = 2^2

26 - 11 = 15; 15 - 7 = 8 = 2^3

57 - 26 = 31; 31 - 15 = 16 = 2^4

120 - 57 = 63; 63 - 31 = 32 = 2^5

so the next number should be 64+63 = 127+120 = 247.

check: 247–120 = 127; 127–63 = 64 = 2^6. correct.

so the next number is 247. 2^n+(n-1)

5 0

2 years ago

Read 2 more answers

The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor s

faltersainse [42]

Answer:

The parameters of the exponential distribution is 0.0133.

Step-by-step explanation:

Exponential distribution is a continuous probability distribution.

The density function of exponential distribution is,

$f _{X}(x)=\theta \cdot e^{-\theta\cdot x},\ x\geq 0$

Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.

The random variable <em>X</em> has an average value of 75 seconds.

Compute the parameters of the exponential distribution as follows:

$\theta=\frac{1}{\mu}\\\\$

$=\frac{1}{75}\\\\=0.013333333333\\\\\approx 0.0133$

Thus, the parameters of the exponential distribution is 0.0133.

3 0

1 year ago

the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder

Elina [12.6K]

Answer: Volume of the cylinder = $4912\ cm^2$

Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder = area of cross section x height

Given: Area of cross section = $614\ cm^2$

height = 8 cm

Volume of cylinder = 614 x 8

$= 4912 \ cm^2$

Hence, the volume of the cylinder = $4912\ cm^2$

6 0

1 year ago

Which of the following expressions are equivalent to −5.93+(−8.62)+5.93?

vampirchik [111]

Answer:

A, B, C, D

Step-by-step explanation:

−5.93 + (−8.62) + 5.93 =
−5.93 - (8.62 - 5.93) = B
−(5.93 + 8.62) + 5.93 = C
−5.93 −8.62 - (- 5.93) = D
-8.62 A

7 0

2 years ago

Read 2 more answers

If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers

Contact [7]

Let the first integer be x. Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or x^2 - 19x - 462 = 0

Solve by completing the square:

x^2 - 19x + 90.25 - 90.25 - 462 = 0

(x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33

The two consecutive integers are 33 and 34.

Check: (33)(34)-20(34) = 442 (as expected).

8 0

2 years ago

Which term in the arithmetic sequence 11, 4,-3 . . . is -129?​

Which term in the arithmetic sequence 11, 4,-3 . . . is -129?