Select the recursive rule that models the sequence below.14,20,26,32

Mathematics

1 answer:

AURORKA [14]3 years ago

5 0

Answer:

a₁ = 14, aₙ = 14 + 6(n - 1)

Step-by-step explanation:

Sequence given:

14, 20, 26, 32

We see common difference is 6:

32-26 = 26-20 = 20 - 14 = 6

Recursive formula is:

a₁ = 14,
aₙ = 14 + 6(n - 1)

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If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its radius is

vredina [299]

Equation fo a circle:
Data:
Center: C(x₀,y₀).
radius: r

(x-x₀)²+(y-y₀)²=r²

In this equation:
(x+4)²+(y-6)²=25
C(-4,6)
r²=25 ⇒r=√25=5

Then, it´s radius is 5.

If, we have got two points:
A(x₁,y₁)
B(x₂,y₂)
The distance beetween the points is:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²]

Then:
A(-6,7)
B(-1,-5)

dist(A,B)=√[(-1+6)²+(-5-7)²]
dist (A,B)=√(5²+12²)
dist (A,B)=√(25+144)
dist (A,B)=√169
dist (A,B)=13

the distance between the points (-6,7) and (-1,-5) is 13.

6 0

4 years ago

4x : 3 = 11 : 7 Calculate the value of x

puteri [66]

Answer:

Step-by-step explanation: 4x/3=11/7

Now , we cross multiply =4x*7=11*3

=28x=33

x=33/28

ANSWER:33/28 or you can even convert into a mixed fraction

hope this helps

6 0

3 years ago

What is the approximate value of this logarithmic expression?

Licemer1 [7]

The approximate value of $log_{8}24$ is 1.52832 or 1.53.

What is the logarithmic Expression?

A logarithmic expression is an function that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.

Here $log_{8}24$ = $log_{2^{3} }24$