All categories

3 years ago

The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

21d = 12

d = 12/21

d = 4/7

The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

n = 32/4

n = 8

You might be interested in

Analyze the diagram below and answer the question that follows. If 2004-02-01-02-00_files/, what is 2004-02-01-02-00_files/? A.

nadya68 [22]

Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

$\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}$

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

$\frac{WX}{WA} =\frac{2WA}{WA} = 2$ (since A is the midpoint of WX)

$\frac{WV}{WY} =\frac{2WY}{WY} = 2$ (since Y is the midpoint of WV)

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

$\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY}$ = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

Learn more about similar triangle here:

brainly.com/question/25882965

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

5 0

2 years ago

Maria bought 5 tickets for $20 each. Each ticket had a $2 fee. Write an expression that shows how much Maria paid for the ticket

Tanya [424]

The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

<h3>Algebraic expression to show how much Maria paid for the tickets</h3><h3 />

Number of tickets Maria bought = 5
Cost of each tickets = $20
Additional fee per tickets = $2

let

Total amount Maria paid for the tickets = y

Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)

y = 20(5) + 2(5)

y = 100 + 10

y = $110

Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

Read more about algebra expression:

brainly.com/question/2972832

#SPJ1

7 0

1 year ago

Lilly has read seven-eighths of her book and is on page 147. How many pages does lilly have left to read?

lara [203]

Answer:

Step-by-step explanation:

Since Lilly has read 7/8 of her book (aka 147 pages), divide 147 by 7 and you get 21.

This means 1/8=21

Since she has read 7/8 of the book, and the full book is 8/8, 8/8-7/8= 1/8

Meaning she has 1/8 of the book left to read.

As said before, 1/8 =21

Thus, she has 21 pages left to read.

4 0

3 years ago

Um I am very much stuck

lozanna [386]

Um. i’m pretty sure it’s just 30 feet

6 0

3 years ago

Read 2 more answers

Give at least three examples of how earlier periods made use of the accounting process? How did the accounting process help such

Ksju [112]

Answer:

i am not sure of these answer but what i know i am gonnna share eith you

Step-by-step explanation:

. The people relied on primitive accounting methods to record the growth of crops and herds. Because there was a natural season to farming and herding, it was easy to count and determine if a surplus had been gained after the crops had been harvested or the young animals weaned.

2. The use of the words "debit" and "credit" in accounting goes back to the days of single-entry bookkeeping, which had as its chief objective keeping track of amounts owed by customers (debtors) and amounts owed to creditors.

3. Accounting as an ad-hoc ordering system devised by the merchant. Its regular use provides the merchant with continued information about business, and allows to evaluate how things are going and to act accordingly.

Niccherip5 and 19 more users found this answer helpful

THANKS

5.0

(2 votes)

Still have questions?

FIND MORE ANSWERS

ASK YOUR QUESTION

New questions in History

halimbawa ng lawa sa asya

An Essay about Life Without Trees

Punan ang talaan sa ibaba sa pamamagitan ng paghahambing ng Mga pananaw ng mga asyano tungkol sa asya at asyano. Ano kaya ang maaaring pangunahing tem …

how was magdalene's faith tested and how did she respond to it? (religous po to)

Emilio Aguinaldo made many crucial decisions in the past that affected the country. Do you agree with such decision? If you were given an opportunity …

Why Did God Create Earth?(Explain It In Your Own Sentence)

write down the regions of the philippines including the provinces and cities?

what is the significance of the creation story to your life

1. What are the similarities in the physical characteristics of North Asia, West Asia, East Asia, South Asia, and Southeast Asia? Explain. 2. If we re …

help i need this rnn!!

HERE YOU GO

4 0

2 years ago