MATHEMATICS HIGH SCHOOL

Write an explicit rule to represent the sequence :
4, 10, 16, 22,...
Write an explicit rule to represent the sequence : 4, - 1

Answers

Answer 1
Answer:

It's an arithmetic sequence:

a_1=4;\ a_2=10;\ a_3=16;\ a_4=22;\ ...

The explicit rule:

a_n=a_1+(n-1)d

d=a_(n+1)-a_n\to d=a_2-a_1=a_3-a_2=a_4-a_3=...

d=10-4=16-10=22-16=6

Substitute:

f(n)=4+(n-1)(6)=4+6n-6=6n-2

Answer: f(n) = 6n - 2

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Using the drawing, how would you classify angles 9 and 10? A. Reflex

B. Obtuse

C. Adjacent

D. Vertical

Answers

The answer is D, I guess. Hope this helps
:)

The first four terms of a sequence are shown below:9, 5, 1, −3

Which of the following functions best defines this sequence? (5 points)


A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Answers

Answer:

Option A is correct.

Step-by-step explanation:

We have been given the sequence:

9,5,1,-3

We can clearly see that the next digit is four less than the previous digit.

Here first term that is a=9

So, the function would be:

f(1)=9; f(n+1)=f(n)-4\text{for}n\geq1

Therefore. option A is correct.

Option B and D are not correct because function is decreasing not increasing.

Option C is not correct because decreasing by 4 not 5.

Answer:

A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Step-by-step explanation:

i took the test and got it right

A triangle has sides with lengths of 5x - 2, 4x - 4, 6x - 8. What is the perimeter of the triangle?

Answers

Answer:

(15x - 4) units

Step-by-step explanation:

5x-2 + 4x-4 + 6x - 8

15x - 14

 multiply polynomials

(2n+2)(6n+1)

Answers

The multiplication of the expression ( 2n + 2 )( 6n + 1 ) is  12n² + 14n + 2.

What is the simplified form of the given expression?

Given the expression in the question:

( 2n + 2 )( 6n + 1 )

To multiply the expression ( 2n + 2 )( 6n + 1 ), we use the distributive property and the FOIL method.

( 2n + 2 )( 6n + 1 )

Using the Foil method:

2n( 6n + 1 ) + 2( 6n + 1 )

Using the distributive property:

2n × 6n + 2 × 1 + 2 × 6n + 2 × 1

Multiplying, we get:

12n² + 2n + 12n + 2

Collect and add the like terms:

12n² + 14n + 2

Therefore, the simplified form is  12n² + 14n + 2.

Learn more about the FOIL method here: brainly.com/question/27980306

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(2n+2)(6n+1)\n12n^2+2n+12n+2\n12n^2+14n+2

Which expression is equivalent to (6 + 2i) - (4 + 3i)?

Answers

(6 + 2i) - (4 + 3i)=6+2i-4-3i=2-i

A 75.0 kg person steps on a scale in an elevator. The scale reads 761 N. What is the magnitude of the acceleration of the elevator?

Answers

You can use Newton's law, Resultant force=Mass×Acceleration.To find the acceleration take force over mass of the person which is 761N÷75.0kg.Hope this helps.
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