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
kupik [55]
3 years ago
15

Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t

he nth term of this sequence, assuming a1 8. (c) Find the sum of the first 100 terms of the sequence: P100 k1 ak
Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one.  Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

You might be interested in
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side
lorasvet [3.4K]

Answer:

Step-by-step explanation:

1.

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

       =cot x (sec²x)²

       =cot x (1+tan²x)²     [ ∵ sec²x=1+tan²x]

       =  cot x(1+ 2 tan²x +tan⁴x)

       =cot x+ 2 cot x tan²x+cot x tan⁴x

        =cot x +2 tan x + tan³x        [ ∵cot x tan x =\frac{ \textrm{tan x }}{\textrm{tan x}} =1]

       =R.H.S

2.

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

 L.H.S =(sin x)(tan x cos x - cot x cos x)

          = sin x tan x cos x - sin x cot x cos x

           =\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}

           = sin²x -cos²x

           =1-cos²x-cos²x

           =1-2 cos²x

           =R.H.S

         

3.

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

         =1+\frac{{sin^2x}}{cos^2x}                       [\textrm{sec x}=\frac{1}{\textrm{cos x}}]

         =1+tan²x                        [\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]

         =sec²x

        =R.H.S

4.

\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}

L.H.S=\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}

       =\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}

      =\frac{\textrm{sinx+sin xcos x+{\textrm{sinx-sin xcos x}}}}{{(1-cos ^2x)}}

     =\frac{\textrm{2sin x}}{sin^2 x}

      = 2 csc x

    = R.H.S

5.

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

        = sec²x-tan²x

        =\frac{1}{cos^2x} -\frac{sin^2x}{cos^2x}

        =\frac{1- sin^2x}{cos^2x}

        =\frac{cos^2x}{cos^2x}

        =1

     

       

8 0
3 years ago
Solve the equation for y. Then graph the equation. 5x – 4y = 12
iVinArrow [24]
-3+ \frac{5}{4}x
6 0
3 years ago
Kent caught an 8 pound 3 ounce trout in Pike Lake. The season's record catch so far is 129 ounces. Did Kent's fish beat the reco
Crank
Yes Kent Did beat the record. There are sixteen ounces in one pound. 16•8=128+3 sooooo..131
8 0
3 years ago
I need to solve this problem using the substitution method. I keep getting crazy numbers so I’m definitely doing something wrong
Oksanka [162]

Answer:

S=3 R=1

Step-by-step explanation:

3x1+3=6

1+(3x3)=10

3x3=9

9+1=10.

4 0
3 years ago
Show work<br> Explain <br> No wrong answers<br> No links <br> No nasty website <br> Only GOOD STUFF!
Ann [662]
28 times 5 because volume= length times width times height. Brainliest?
5 0
2 years ago
Read 2 more answers
Other questions:
  • Which ordered pair comes from the table?
    14·2 answers
  • Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?
    8·1 answer
  • Solution of 3x2 = 7x − 3?<br><br> 
    8·1 answer
  • You have just accepted a job at Wonders Day Camp for the summer. The camp will pay you $48.23 each day for 8 weeks. If you work
    7·2 answers
  • The function h is defined by h(x)=b−9÷x, where b is a constant. Find b, if the graph of h passes through the point (−6,19).
    14·1 answer
  • Which of the following is the solution to the inequality below?
    14·1 answer
  • Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
    11·1 answer
  • Does anyone know<br> How to do probability?
    10·1 answer
  • I need help somebody tell me the answer .
    5·2 answers
  • Find the area of this triangular prism.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!