MATHEMATICS HIGH SCHOOL

Which answer describes this series? 2 + 4 + 12 + 48 +...

e) Neither arithmetic nor geometric
f) Both arithmetic and geometric
g) arithmetic
h) geometric

Answers

Answer 1
Answer: e) Neither arithmetic nor geometric
*2
*3
*4
...

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A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1 B) 3
C) 27
D) 81

Answers

Answer: The answer is 9.

Step-by-step explanation:

Since f(n+1) = f(n)

If n= 1

f(2) = f(1)

if n= 2

f(3) = f(2) = 9 {since f(3) is 9}

Since f(2) is now 9 and f(2) = f(1), therefore f(1) will also be 9.

No answer!
A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1

Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.

Answers

we have

6c = 2p - 10

If c is the independent variable

then

p is the dependent variable

so

clear variable p

6c = 2p - 10

Divide by 2 both sides

3c = p - 5

Adds 5 both sides

3c+5 = p - 5 +5

p=3c+5

Write the equation in function notation

f(c)=3c+5

therefore

the answer is

the equation in function notation is equal to f(c)=3c+5
f(c)=3c+5 is the right answer

If p and a vary inversely and p is 26 when q is 5, determine q when p is equal to 10

Answers

Answer: q = 13

because p and q are inverse

=>  26/10 = q/5

⇔ q = 26/10.5

⇔ q = 13

Step-by-step explanation:

In PQRS, PR and QS intersect at T. What additional information is needed to conclude that PQRS is a rectangle

Answers

If it's congruent and similar

Simplify each equation, then solve. 1) log 2 128=x

Answers

\log _( 2 ){ 128 } =x\n \n \log _( 2 ){ \left( { 2 }^( 7 ) \right) } =x\n \n 7\cdot \log _( 2 ){ 2 } =x

\n \n 7\cdot 1=x\n \n \therefore \quad x=7
l[tex]log_(2)128=x\n\n Formula\ for\ log:\nlog_(a)c=b\ \ \ =>\ a^b=c\n\n2^x=128\n\n 2^x=2^7\n\n x=7\n\nSolution\ is\ x=7.[/tex]

An equivalent fraction for 2/3 is
1. 2/6
2. 1/3
3. 8/15
4. 10/15

Answers

As the given and answers are all fractions, this is merely a trial-and-error method to simplify and see which answers are equivalent to the given fraction. So let us try with all them:

1.) 2/6 = 1/3 (X)
2.) 1/3 is already simplified and is not equivalent to 2/3. (X)
3.) 8/15 is already simplified and is not equivalent to 2/3. (X)
4.) 10/15 = 2/3 (by dividing 5 from both numerator and denominator)

Therefore, the correct answer is 10/15
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