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
cupoosta [38]
3 years ago
7

The given series has six terms. What is the sum of the terms of the series?

Mathematics
2 answers:
satela [25.4K]3 years ago
6 0
S_n = \dfrac{n(a_1 + a_n)}{2}

S_6 = \dfrac{6(5 + 20)}{2}

S_6 = 75

Of course, you can just add the 6 terms, 5, 8, 11, 14, 17, and 20, and you will also get a sum of 75.
Aleks04 [339]3 years ago
5 0
Given that there are six terms, we have this set:

a_{n} = \{5,8,11,a_{4},a_{5},20}\}

So, we need to find a4 and a5. Given that:

8-5 = 3
11-8 = 3

Then, it is obvious that

a_{4}-11 = 3 ∴ a_{4}=14 
a_{5}-14 = 3 ∴ a_{5}=17 

Then, the sum of the terms of the series is:

S = 5+8+11+14+17+20 = 75
You might be interested in
The lines shown below are parallel.if the green line has a slope of -1/2, what is the slope of the red line?
Delvig [45]

The anwser is D

because it is very easy


4 0
3 years ago
Read 2 more answers
Need help on this . Explain how you got it ?
kvasek [131]
The goal is to find a number between 0.125 and 0.18
1/5 is 0.2
0.2, 1.6, 0.09 are not in the range. Therefore, the square root of 0.02 (0.1414) is the answer.
8 0
3 years ago
Find the area of a trapezoid with bases of 15cm and 6 cm and a height of 1/5cm
NNADVOKAT [17]
Area = 0.5 x (a+b) x h

= 0.5 x (15cm + 6cm) x 1/5cm
= 0.1 x 21cm
=2.1cm^2  (2.1 centimeters squared)
8 0
3 years ago
Read 2 more answers
DOL: How does dividing integers relate to<br> multiplying integers?
SashulF [63]

Answer:

Always multiply or divide the absolute values

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Smokers: Out of 780 smokers, 376 have been divorced.
beks73 [17]

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
  • 53% increased risk of divorce for smokers.

<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

brainly.com/question/17097944

4 0
2 years ago
Other questions:
  • I don’t understand please help me
    9·1 answer
  • Lcm of 8 and 15 Please!
    6·1 answer
  • What's the answers to the hear questions??
    5·1 answer
  • Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the sc
    8·1 answer
  • How do i graph the quadratic function f (x)=-(x-3)(x+1)
    14·1 answer
  • 7th grade math help me plzzzzz
    11·1 answer
  • Solve for g and h please
    15·1 answer
  • PLS HELP! DUE TODAY WILL MARK BRAINLIEST
    5·1 answer
  • Is this a linear function?
    5·1 answer
  • Show Your Work! <br> Will Mark Brainliest!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!