MATHEMATICS HIGH SCHOOL

2,7,26,101,400 what is the next number

Answers

Answer 1

Answer:

The next number in the sequence is 1595.

Here, given that, the sequence of numbers is: 2,7,26,101,400....

The relationship between the successive numbers in the sequence:

$x_((n+1)) = 4x_n - n$

Now, applying it to the given sequence:

$x_1 = 2\nx_2 = 4 * 2 - 1 = 7\nx_3 = 4 * 7 - 2 = 26\nx_4 = 4 * 26 - 3 = 101\nx_5 = 4 * 101 - 4 = 400$

As we can see, the formula $x_((n+1)) = 4x_n - n$ holds true for each term in the sequence, and it gives us the correct values for the subsequent terms.

Now, to find the next number in the sequence,

we use the formula with n = 5:

$x_((5+1)) = 4 * x_5 - 5\nx_6 = 4 * 400 - 5\nx_6 = 1600 - 5\nx_6 = 1595$

So, the next number in the sequence is 1595.

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Answer 2

Answer: $a_1=2\na_2=4*a_1-1=4*2-1=7\na_3=4*a_2-2=4*7-2=26\na_4=4*a_3-3=4*26-3=101\na_5=4*a_4-4=4*101-4=400\na_6=4*a_5-5=4*400-5=1595$

Related Questions

Look at this sequence.95, 80, 65, 50,... Which function represents this sequence? A. a(n) = 110n - 15 B. a(n) = 15n + 80 C. a(n) = 95n - 15 D. a(n) = -15n + 95
Based on one of the triangle congruence postulates, the two triangles shown are congruent. part 4True or False
What is the sum of 5
Which function is quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3
Someone help!!!!! Which graph is defined by the function given below?y = (x - 5)(x -5)A, Graph AB. Graph BC. Graph CD. graph D

Which three-dimensional figure has exactly three rectangular faces? rectangular prism

rectangular pyramid

triangular prism

triangular pyramid

Answers

A triangular prism is a three-dimensional figure that has exactly three rectangular faces. Hence the correct answer is C.

What is a three-dimensional figure?

A three-dimensional shape is one that has three dimensions width, length, and height.

They differ from two-dimensional shapes because they have thickness.

Learn more about triangular prism at:

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7 to the 3rd power as a multiplication of factors is

Answers

Answer:

7*7*7

Step-by-step explanation:

7^3=7*7*7

hope this helps

Answer:

7×7×7= 343

Step-by-step explanation:

the answer is 343.

The test scores for a group of students are shown. 87, 72, 98, 84, 72, 65, 72, 70, 58, 91, 81, 84

What is the mode of the scores?

A.
80

B.
77.8

C.
76.5

D.
72

Answers

the mode is what occurs the most. 87 occurs once, 72 occurs 3 times, 98 occurs once,84 occurs twice, 65 occurs once, 70 occurs once, 58 occurs once , 91 occurs once and 84 occurs once. 72 occurs 3 times, which is the most, so 72 is the mode.

How do I solve this problem 7x<14 and 1-x<4

Answers

x<2 and x>-3 => x∈(-oo, 2) and x ∈(-3,+oo )=> x∈(-3, 2).

7x < 14

x < 14/7

x < 2

x ∈ (-oo ; 2)

1 - x < 4

1 - 4 < x

- 3 < x

x > - 3

x ∈ (- 3 ; + oo)

_____(.__.__.__.__.__.)____

-oo - 3 0 2

x ∈ (- 3 ; 2 )

A quarterly telephone bill consist of N$79.15 rental plus 4.7 cents for each dialled unit. Sales tax is added at 15%. What is the total bill for Mrs. Jones who used 915 dialled units?

Answers

Answer:

$140.48

Step-by-step explanation:

Let x represent dialed units.

We have been given that a quarterly telephone bill consist of $79.15 rental plus 4.7 cents for each dialed unit.

4.7 cents = $0.047

Cost of dialing x units would be $0.047x$ .

Total cost of dialing x units would be $0.047x+79.15$ .

Let us find cost of dialing 915 units by substituting $x=915$ in above expression.

$0.047(915)+79.15$

$43.005+79.15$

$122.155$

Now, we will find 15% of sales tax as:

$122.155* (15)/(100)$

$122.155* 0.15$

$18.32325$

Total bill: $18.32325+122.155=140.47825\approx 140.48$

Therefore, Mrs. Jonas's bill would be $140.48.

$4.7 × 915 = 4300.5
$4300.5 + 79.15 = 4379.65
15% of 4379.65 = 656.9475
4379.65 + 656.9745 = 5036.6245
Mrs. Jones' Bill was $5036.63
(Rounded to the nearest 1/10)

What is 9/11=?/22 need help with this problem

Answers

When you solve proportions, you have to cross multiply.

   9   x
  --- = --- Multiply each numerator by the opposite denominator.
  11 22

(9)(22) = 11x Then, multiply.

198 = 11x Then, divide.

18 = x

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