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
ASHA 777 [7]
3 years ago
12

What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
You might be interested in
A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest​ 63% of shoppers use credit
Alona [7]
We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal:  95% = 95/100 = 0.95
Subtract from 1:  1-0.95 = 0.05
Divide by 2:  0.05/2 = 0.025
Subtract from 1:  1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

We want ME to be 4%; 4% = 4/100 = 0.04.  Substituting this into our equation, as well as our proportion and z-score,
0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}&#10;\\&#10;\\\text{Dividing both sides by 1.96,}&#10;\\&#10;\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}&#10;\\&#10;\\\text{Squaring both sides,}&#10;\\&#10;\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}&#10;\\&#10;\\\text{Multiplying both sides by n,}&#10;\\&#10;\\n(\frac{0.04}{1.96})^2=0.63(0.37)&#10;\\&#10;\\n(\frac{0.04}{1.96})^2=0.2331&#10;\\&#10;\\\text{Isolating n,}&#10;\\&#10;\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560
3 0
3 years ago
100-(2 8/5+1 3/8)×(3.05-0.8
Leya [2.2K]
<span>88.80625 is the answer because I used a calculator.</span>
5 0
2 years ago
Makos goal is to save $42 he currently has $2 and plans to save $18 per week let x represent the number of weeks mako saves mone
shutvik [7]
It’s is 3 weeks long that’s the answer
3 0
3 years ago
What is the slope of a line given the points (4,-2) and (6, 5)?
Ksenya-84 [330]

Answer:

3 1/2

Step-by-step explanation:

5--2=7

6-4=2

7/2= 3 1/2

5 0
2 years ago
If A is 35% of B, then B:A is 65:35... True or False
mixer [17]
False it is not it just said that if B is 100 then A is 35
8 0
3 years ago
Read 2 more answers
Other questions:
  • The expression 2a+1.5b 2a+1.5b  gives the cost (in dollars) for a a cupcakes and b b cookies at a bake sale
    8·1 answer
  • One number exceeds another by 99. the sum of the numbers is 6565. what are the? numbers?
    5·1 answer
  • What is one third of 1296?
    14·2 answers
  • 15 customers increased by 200
    15·2 answers
  • Heyyyy I really need help with dis. If u can please answer and explain
    14·2 answers
  • Photos attached, please help. Brainliest will be given.
    12·2 answers
  • Which statement about the data is true? 985, 2, 18, 11, 512, 2, 14, 19, 112, 15
    13·1 answer
  • To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint sho
    7·1 answer
  • Pls tell me the rest of the angles. Angle 1 is 112.9 degrees
    15·1 answer
  • Here's what Gabriel and Kayla actually wrote.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!