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
Reika [66]
3 years ago
12

Sequences:

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

<u>The sequence is</u>

  • 1, 1 + 2, 1 + 2 + 3, 1  + 2 + 3 + 4, ...

Each term is the sum of the consecutive numbers from 1 to that number.

<u>The nth term is the sum of the first n numbers:</u>

  • aₙ = 1 + 2 + 3 + ... + n
  • aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
  • aₙ = n(n + 1)/2

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

You might be interested in
Someone help me with this question pleaseee
sweet-ann [11.9K]
Answer: y=2x-1

We know that the equation of a line is y = mx + b, where m is the gradient and b is the y-intercept.

First to find the gradient, we use the formula y2-y1/x2-x1.

x1 and y1 being the first set of coordinates (2,3) and x2 and y2 being the second set (4,7)

Now we sub in:
m=7-3/4-2
m=4/2
m=2

This is our gradient and we can put it into the equation: y=2x+b

Now we find the y-intercept (b). Since the y-intercept isn’t shown, we can sub in the coordinates to find it.

y=2x+b
Sub (2,3)
3=2(2)+b
3=4+b
-1=b

Sub (4,7)
7=2(4)+b
7=8+b
-1=b

Subbing in both coordinates gives us -1 as the y-intercept, so the finished equation is: y=2x-1
3 0
3 years ago
Read 2 more answers
Find two consecutive integers whose sum is 93. (Show work)
kenny6666 [7]

You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.

5 0
3 years ago
Consider random samples of size 80 drawn from population A with proportion 0.48 and random samples of size 66 drawn from populat
gogolik [260]

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

5 0
3 years ago
What are the correct classifications for the polygon
Dmitry [639]
It’s convex hexagon
8 0
3 years ago
Read 2 more answers
The cost of turkey is directly proportional to its weight. If a 12-pound turkey costs $27, how much does a 16-pound turkey cost?
Reptile [31]

Answer:

D

Step-by-step explanation:

27/12= 2.25

2.25*16=36

6 0
3 years ago
Other questions:
  • Can you find the area in Circumference of a circle given the radius or diameter
    12·1 answer
  • Factor the expression: x^6-729. Show your work Please.
    9·1 answer
  • At store A, apples are $3.99 for 5 apples. At store B, apples are $20 for 10 apples. Which is the better deal?​
    12·2 answers
  • Neep help on this problem.
    8·2 answers
  • Find the least common denominator (LCD) of
    12·1 answer
  • Write the equation of the line that passes through the points (-2, -8) and (8,-8).
    7·1 answer
  • a spinner with 4 colors is spun for total of 50 trials yellow was selected 10 times what is the exprimental probability of the s
    6·1 answer
  • Look at photo and answer.
    12·1 answer
  • How Did the Function Cross the Bridge?
    9·1 answer
  • PLEASE HELP IM STUCK :((<br> K is the midpoint of JL<br> If:<br> JK=9x-5<br> KL=7x+3<br> Find JL.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!