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2 years ago

Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.

Mathematics

1 answer:

MariettaO [177]2 years ago

6 0

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

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Write the equation of the line that passes through the points (3,-8) and (-8,1).

Gennadij [26K]

Answer:

-9/11

Step-by-step explanation:

-8-1/3-(-8)

-9/11

6 0

3 years ago

Zara walked 3/4 mile in 30 minutes. How long will it take her to walk 2 miles?

Talja [164]

Answer:

80 minutes

Step-by-step explanation:

(3/4)/30=2/x

cross product

30*2=(3/4)x

60=3/4x

x=60/(3/4)

x=(60/1)(4/3)

x=240/3

x=80

5 0

4 years ago

Evaluate |bc|, given a = 5, b = -3, and c = -2.

Anni [7]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|bc|

a = 5

b = -3

c = -2

Step 2: Evaluate

Substitute: |-3 · -2|
Multiply: |6|
Evaluate: 6

7 0

3 years ago

What is the value of the this expression when a=5 and k=-2

Marizza181 [45]

Answer:

Where is the equation

Step-by-step explanation:

7 0

4 years ago

A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool

statuscvo [17]

Answer:

$\dfrac{1}{8}\ gallons$

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = $\frac{3}4$ gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = $V$

$V + V + V + V + V + V = \dfrac{3}{4}\ gallons$

$\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}$

$\frac{1}{8}\ gallons$ of kool - aid is the amount that each smaller can hold.

8 0

3 years ago