1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
3 years ago
6

Show how the following sequences is an arithmetic or not please help me ​

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

not arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Given

T_{n} = 2n² - 1

Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence

T_{1} = 2(1)² - 1 = 2 - 1 = 1

T_{2} = 2(2)² - 1 = 8 - 1 = 7

T_{3} = 2(3)² - 1 = 18 - 1 = 17

T_{4} = 2(4)² - 1 = 32 - 1 = 31

check the difference between consecutive terms

7 - 1 = 6

17 - 7 = 10

31 - 17 = 14

The differences are not common hence not an arithmetic sequence

You might be interested in
Given: △AKM, KD ⊥ AM , AK = 6, KM = 10, m∠AKM = 93º Find: KD
storchak [24]

Answer:

The measure of the perpendicular KD is 8.72 unit .

Step-by-step explanation:

Given as :

The triangle AKM  , with KD perpendicular to AM

The measure of side AK = 6 unit

The measure of side KM = 10 unit

The ∠ AKM = 93°

Let The measure of side KD = x unit

Now,

∵ KD ⊥ AM , KD divide the angle  ∠ AKM  equally

So,  ∠ AKD =  ∠ \dfrac{AKM}{2}

I.e  ∠ AKD =  ∠ \{93}{2}

∴  ∠ AKD = 46.5°

Now, Again

Cos Ф =  \dfrac{AK}{KD}

I.e Cos 46.5° = \dfrac{6}{KD}

I.e 0.688 = \dfrac{6}{KD}

∴ KD = \dfrac{6}{0.688}

I.e KD = 8.72 unit

Hence The measure of the perpendicular KD is 8.72 unit  Answer

6 0
3 years ago
The window in Mr. Rodriguez's attic is in two parts, each shaped like a trapezoid and each with identical dimensions.
MaRussiya [10]

Answer and Step-by-step explanation:

First, ~multiply~base~and~height.~In~our~case~the~base~is~30~inches~and the~height~is~12~inches.Then,~we 'll~take~16~inches~and~multiply~it~with~12~inches

<u><em>So, it'll be :</em></u>

<u><em></em></u>30~inches × 12~inches =360~inches

16~inches × 12~inches=192~inches

Now,~that~we've~got~ 360 ~and~ 192~ as~ our~ answers ~we ~add~ them ~up..

<u><em>Like this :</em></u>

<u><em /></u>360+192=552<u><em /></u>

<u><em /></u>

<u><em /></u>And,~that's~our~final~answer!-522~in^2<u><em /></u>

4 0
3 years ago
Read 2 more answers
At this rate if you have been in the car for 12.3 hours how many miles have you travled?
antoniya [11.8K]

Answer:

738

Step-by-step explanation:


3 0
3 years ago
What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Sloan [31]

Answer:

105

Step-by-step explanation:

150-30%= 105

Have a wonderful day!

3 0
2 years ago
Read 2 more answers
Absolute power of x minus 8 equals -5 solve
Shalnov [3]

Your answer is "x=3"!

8 0
3 years ago
Read 2 more answers
Other questions:
  • <img src="https://tex.z-dn.net/?f=%283%20%2B%20%20%5Csqrt%5B%5D%7B2%7D%20%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(3 +
    7·1 answer
  • Rounding to hundreds or thousands
    13·1 answer
  • Write 3 numbers that round to 647,400 when rounded to the nearest hundred
    10·1 answer
  • Mick has a 6-digit code. He remembers it as three 2-digit numbers. The first number is between 10 and 20. The second number is 3
    5·1 answer
  • Nolan invested $8,100 in an account paying an interest rate of 8 3/4% compounded quarterly. Carter invested $8,100 in an account
    9·2 answers
  • What is the response variable in this scenario?<br><br> A.<br><br> B.<br><br> C.<br><br> D.
    13·2 answers
  • PLEASE HELP !!!! u will get 15 points
    7·2 answers
  • Write ways to represent the fraction 10/9.
    7·2 answers
  • Please Help! Will Give Brainlest! Locks In an Hour! Please try again if brainly Deletes your Answer!
    5·1 answer
  • Directions: Find the product and simplify<br>​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!