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2 years ago

Michael: (a)(b)(c)

Mathematics

1 answer:

irinina [24]2 years ago

7 0

Answer:

Ladonna: a + c + b

Step-by-step explanation:

-The commutative property in addition states that the order of arrangement of the integers to be added has no effect on their sum such that:

$x+y=y+x$

-Since the alphabet follows the order a,b, c....

Only Ladonna rearranged to change this order to show the commutative property.

-Hence, Ladonna wrote the expression correctly.

*The commutative property should not be confused with the associative property.

-The latter allows you to change the order and terms within the closed parentheses while retaining the answer.

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The geometric sequence a i a i a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 =8a, start subscr

frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

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3 years ago

How do you find both lengths of the diagonals of a rhombus?

attashe74 [19]

To find the area of a rhombus, multiply the lengths of the two diagonals and divide by 2 The sides and angles of a rhombus The sides of a rhombus are all congruent Opposite angles of a rhombus are congruent

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2 years ago

What is the answer to this question?<br> Y=x^2-1 with the input as 5

mixas84 [53]

We can see that, when the input is 5, the output is 24.

<h3>How to evaluate an equation?</h3>

Here we have the equation:

$y = x^2 - 1$