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
Soloha48 [4]
2 years ago
10

Find the first three terms of the arithmetic series described. a_1=1,a_n=19,S_n=100

Mathematics
1 answer:
Rudik [331]2 years ago
3 0

Answer:

1, 3, 5

Step-by-step explanation:

The sum of an arithmetic series is:

S_n = n (a_1 + a_n) / 2

100 = n (1 + 19) / 2

n = 10

The nth term of an arithmetic sequence is:

a_n = a_1 + d (n − 1)

19 = 1 + d (10 − 1)

d = 2

The common difference is 2.  So the first three terms are 1, 3, and 5.

You might be interested in
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where
Anastasy [175]

Answer:

<h3>55 secs</h3>

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

4 0
2 years ago
Use the Fundamental Counting Principle to find the total number of possible outcomes.
krok68 [10]

Answer:

gfhcfgjcfgjdfgjvhjvhkftfhcyjftyjvjftykftyvgjcgjfyfg gjvvgvggvgvhjvhvg

Step-by-step explanation:

vgjkcgyjvghj vhjvjvhvhjvhjvghjghjvghjvhjhvgghvghvhvhvhvhjvghjvghjvh .jvghvghj gj vjvhjvhjv .v .hvhjvhjvhvb vh vv bhjvb f  

4 0
3 years ago
Someone please saveee meee on this :(
dusya [7]

Answer:

the answer is 5

6 0
2 years ago
Read 2 more answers
List all the pairs of integers with a product of 36. then find the pair whose sum is 20
RoseWind [281]
This is an excellent practice for the solution of quadratic equations.

1*36=36  => (1,36)
2*18=36  => (2,18)
3*12=36  => (3,12)
4*9=36   => (4,9)
6*6=36   => (6,6)
9*4=36   => (9,4)
12*3=36  => (12,3)
18*2=36  => (18,2)
36*1=36  => (36,1)

We can see that the sum decreases until the two factors are close (or equal) and then increases again.

The pair of integers with a sum of 20 is therefore (2,18) or (18,2).
4 0
3 years ago
Read 2 more answers
Find the area of a rectangle with base 40 cm and height 2 m
Tamiku [17]

Answer: 80

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • X - 3(x – 7) = 4(x – 7) – 2x​
    7·2 answers
  • Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.
    5·1 answer
  • What is the percent increase from 25 to 95
    12·2 answers
  • A student is studying a population of 100 Daylilies by the roadside. The plants in this population are genetically variable. The
    8·1 answer
  • if you travel to Jupiter, your weight would be 236.4% of your earth weight.How much would neil armstrong's space suit weigh on J
    12·1 answer
  • How to factor x^2-49y^2
    6·2 answers
  • What is 0.285714 as a fraction not simplified
    12·1 answer
  • Three more than the quotient of a number and 7 is at most 92. Find the number
    9·1 answer
  • If 25% of a number is 45, is the number greater or less than 45? Explain your answer. (Hint: You might want to solve to find wha
    15·1 answer
  • The points (-3, 6) and (1, -10) lie on a line. What is the function of the line in slope-intercept form?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!