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
andrezito [222]
3 years ago
10

What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...​

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

You might be interested in
Am stuck on this question and show your working please.
Tamiku [17]

Answer:

1. 6pi or 18.84cm

2. 20pi or 62.8cm

3. 13pi or 40.82cm

4. 9.5pi or 29.83cm

5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.

7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.

8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.

5 0
3 years ago
Multiply. Write your answer as a fraction or as a whole or mixed number.
I am Lyosha [343]
Answer:
4 1/6

5 x 5 = 25
6 x 1 = 6
Simplify
25/6 = 4 1/6
4 0
3 years ago
What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3
Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

<u>Step-by-step explanation:</u>

f(x) = 3ˣ - 3   <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>

Range: y > 3   (-3, ∞)

   g(x) = 7x² - 3  

⇒ g(x) = 7(x - 0)² - 3   <em>This is a parabola with vertex at (0, -3) </em>

Range: y ≥ 3   [-3, ∞)



5 0
3 years ago
Read 2 more answers
Also called regrouping this is when adding numbers results in more than two digits and one digit is placed in the colum to the l
kotykmax [81]

Answer:

Carrying forward.

Step-by-step explanation:

  • When regrouping is done to add the numbers where results in a more than 2 digit and one digit is placed to left Colum is called as carrying forward. As regrouping refers to carrying the place values in order to perform operations like addition or subtraction.
6 0
3 years ago
Can somebody help me with this? Thank you
melomori [17]

Answer:

x≥1 or x≤−3

Step-by-step explanation:

x+1≥2  possibility 1

x+1−1≥2−1  Subtract 1 from both sides

x≥1

x+1≤−2  Possibility 2

x+1−1≤−2−1  Subtract 1 from both sides

x≤−3

4 0
3 years ago
Other questions:
  • The Ocean floor is at -96m. Tom has reached -15m. If he continues to move at -3m per minute, how far will he be from the ocean f
    13·1 answer
  • If you have a 3 sided triangle, with the legs labeled P, Q, and R, find the length of the side PQ. Include all workings!
    13·1 answer
  • 6.8 × 10^13 divided by 9.46 × 10^12
    6·2 answers
  • Find the following Euler Totients using Euler’s Theorem, as explained on p.409 of the text (10 points each): a.ϕ(13) b.ϕ(81) c.ϕ
    5·1 answer
  • What does X to the second power minus 14x plus 49 equals
    12·2 answers
  • Simplify the variable expression by evaluating its numerical part, and enter
    5·1 answer
  • Plz help! Question is below!
    11·2 answers
  • Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • I WILL GIVE U BRAINLIEST JUST HELP MEH PLS
    5·1 answer
  • Find the common difference of this arithmetic sequence:<br> 5.9, 18.0, 30.1, 42.2, 54.3, 66.4...
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!