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
AlekseyPX
2 years ago
15

Find the first four terms of the sequence given by the following. aₙ=43-3(n-1) n=1,2,3. . .

Mathematics
1 answer:
Serggg [28]2 years ago
7 0

Given :-

  • The general term of a sequence is given by aₙ=43-3(n-1) .

To Find :-

  • The first four terms of the sequence.

Solution :-

The given expression is /

→ aₙ=43-3(n-1)

where n > 0

<u>Finding</u><u> the</u><u> </u><u>first </u><u>term </u><u>:</u>

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

<u>Finding</u><u> the</u><u> </u><u>second</u><u> </u><u>term </u><u>:</u>

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

<u>Finding</u><u> </u><u>the </u><u>third </u><u>term</u><u> </u><u>:</u>

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

<u>Finding</u><u> the</u><u> </u><u>fourth</u><u> </u><u>term </u><u>:</u>

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

<u>Hence</u><u> the</u><u> </u><u>first</u><u> </u><u>four</u><u> terms</u><u> of</u><u> </u><u>the</u><u> </u><u>sequence</u><u> </u><u>are </u><u>4</u><u>3</u><u> </u><u>,</u><u> </u><u>4</u><u>0</u><u> </u><u>,</u><u> </u><u>37</u><u> </u><u>and </u><u>34</u><u> </u><u>.</u>

<em>I </em><em>hope</em><em> this</em><em> helps</em><em> </em><em>.</em><em> </em><em>Let </em><em>me</em><em> know</em><em> if</em><em> you</em><em> </em><em>need </em><em>further</em><em> </em><em>clarification</em><em> </em><em>.</em>

You might be interested in
Who understands this sum?
Ahat [919]

Answer:

$31728

Step-by-step explanation:

sorry if I'm wrong

6 0
3 years ago
Explain how patterns are used in mathematics
jeka94

Answer:

shapes

Step-by-step explanation:

The patterns are shapes

8 0
3 years ago
What is the answer to <br> 7y + 5 + (3 - y)?
Nataliya [291]
Answer with factoring: 2(3y+4)

Answer with simplifying: 6y+8
4 0
3 years ago
Read 2 more answers
The expression 24(1−x) gives the discounted price of a pair of shorts, where x is the percent of the discount written in decimal
kap26 [50]

Answer:

(See explanation for further details).

Step-by-step explanation:

(1-x) represents the portion of the price that remains after applying the discount.

7 0
3 years ago
Choose the equation below that represents the line passing through the point -3, -1 with a slope of 4
andre [41]

Answer:

Y=4x-5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • The cost of a car rental is ​$37 per day plus 20 cents per mile. You are on a daily budget of ​$95. Write and solve an inequalit
    12·1 answer
  • Please evaluate this for me
    6·1 answer
  • Law of sines and the law of cosines
    8·1 answer
  • A reflection of shape I....
    15·1 answer
  • What are all of these?
    6·2 answers
  • Please help i have no clue how to do this. any tips or answers greatly appreciated:) thank you
    12·1 answer
  • The diameter of a bowl is 14 cm. What is the circumference? Give the exact
    12·1 answer
  • Select all of the choices that are equal to -5 - (-12) and
    14·2 answers
  • In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
    8·1 answer
  • At give rates how far would each horse run in 12 minutes
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!