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jekas [21]
2 years ago
8

The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next tw

o terms is a multiple of 3, no matter what the value of m. ​
Mathematics
1 answer:
Igoryamba2 years ago
4 0

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

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The shirts cost a $150 for a 100 shirts how much per shirt
Rufina [12.5K]

Answer:

$1.5 per shirt if that's what you meant

Step-by-step explanation:

5 0
2 years ago
Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
7 0
2 years ago
QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get po
const2013 [10]

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

  • The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
  • The sequence of the information is a geometric sequence

<h3>How is the given information expressed as a sequence?</h3>

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

  • R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

  • The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2

Learn more about geometric sequence here:

brainly.com/question/4289731

brainly.com/question/1532378

8 0
2 years ago
The picture shows the graphs of the functions expressed by a formula of the following type: y = kx + b.
ollegr [7]

Answer:

line 1: y= 1x+ 2

line 2: y= -1x-0.5

(usually 1 is omitted but I added for clarity)

Step-by-step explanation:

slope (x)= yfinal-yintial/xfinal-xinitial

b= where line intersects y axis

line 1:  (-1,0), (0.5,1.5)

(1.5-0)/(0.5-(-1))

(1.5)/(1.5)

slope= 1x

y=x+ 2

line 2: (-0.5,0), (0.5,-1)

(-1-0)/(0.5-(-0.5))

(-1)/(1)

slope= -1x

y=-x-0.5

7 0
3 years ago
Read 2 more answers
Nere are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants.
Jobisdone [24]

Answer:

a. 990   b. 243   c. 693

Step-by-step explanation:

a.  1,800 * 0.55 = 990

b. 1,800 * 0.45 = 810

810 * 0.3 = 243 pretzels

c. 1,800 * 0.55 = 990

990 * 0.7 = 693 croissants

3 0
3 years ago
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