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
andre [41]
3 years ago
13

What is a3 of the arithmetic sequence for which a10 is 41 and a15 is 61

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0
For the arithmetic sequence
a₁, a₂, a₃, ..., 
The n-th term is
a_{n}=a_{1}+(n-1)d
where d = common difference.

Because a₁₀ = 41,
a₁ + 9d = 41                (1)

Because a₁₅ = 61
a₁ + 14d = 61             (2)

Subtract (1) from (2).
5d = 20
  d = 4
From (1), obtain
a₁ = 41 - 9*4 = 5

Therefore
a₃ = 5 + 2*4 = 13

Answer:  a₃ = 13
You might be interested in
The graph of y = -3x + 2 intersects the graph of an exponential function at (-1, 5). Which of the following could be the exponen
Andre45 [30]
Of the function choices offered, only the first includes (-1, 5) in its graph.
  a) y = 10(2)^x
8 0
3 years ago
Read 2 more answers
For how many (not necessarily positive) integer values of n is the value 4000x(0.4)^n an integer?
Delicious77 [7]

The number of integer values of n for which the value 4000 × (0.4)ⁿ is an integer is; 9

<h3>How to find the integer values in algebra?</h3>

We are given the expression;

4000 × (0.4)ⁿ

This can also be expressed as;

4000 × (²/₅)ⁿ which can further be expressed in exponent form as;

(2⁵ × 5³) × (²/₅)ⁿ = 2⁽⁵ ⁺ ⁿ⁾ × 5⁽³ ⁻ ⁿ⁾

Since this expression is an integer, we need:

1) 5 + n ≥ 0 for which n ≥ -5

2) 3 - n ≥ 0 for which n ≤ 3

Taking the intersection gives;

-5 ≤ n ≤ 3

Thus;

Number of Integer Values = 3 - (-5) + 1 = 9

Read more about Integer Values at; brainly.com/question/17695139

#SPJ1

3 0
2 years ago
Mike buys four equally priceDVD's online each DVD cost the same amount with a 5.98 shipping charge included the total cost came
Alchen [17]

Answer:

$79.94=4x+$5.98 or you could write it the other way 4x+$5.98=$79.94 either way you get same answer

Step-by-step explanation:

4 0
3 years ago
Help stuck on this question
xenn [34]

14. R= 60°

16. Equilateral and acute

7 0
2 years ago
Read 2 more answers
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
hichkok12 [17]

Answer:

50 percent

Step-by-step explanation:

Mean = 39

\sigma = 3

Using the 68-95-99.7 rule, 68% of the data falls within first  standard deviation of mean

(\mu -1 \sigma, \mu +1\sigma)=(39-3,39+3)=(36,42)

95% data falls within two standard deviation of mean

(\mu -2 \sigma, \mu +2\sigma)=(39-2(3),39+2(3))=(33,45)

99.7% data falls within 3 standard deviation of mean

(\mu -3 \sigma, \mu +3\sigma)=(39-3(3),39+3(3))=(30,48)

Refer the attached graph

The curve is normally distributed

Now the the percentage of light bulb replacement requests numbering between 39 and 48 = 34%+13.5%+2.5% = 50%

Hence  the approximate percentage of light bulb replacement requests numbering between 39 and 48 is 50 .

6 0
3 years ago
Other questions:
  • I need help! Please!
    5·1 answer
  • Compare the ratios: 2/5 and 3/4
    11·2 answers
  • A line from the top of a cliff to the ground passes just over the top of a pole 6.0 ft. high and meets the ground at a point 7.0
    10·1 answer
  • Each unit cost 14p how much do 942 units
    11·2 answers
  • How to convert 625/1000 to its simplest form
    11·1 answer
  • How do you find the sum of 74.365 and 9.82?
    8·1 answer
  • Jake sold 36 tickets to the school fair and jeanne sold 15 what is the ratio
    7·1 answer
  • 12a + 5c = 2550 method of elimination
    11·1 answer
  • How would you write 0.07 as a percent?
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt31" id="TexFormula1" title="\sqrt31" alt="\sqrt31" align="absmiddle" class="latex-formu
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!