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
jonny [76]
2 years ago
9

Which of these have a these has a sum of 15/6

Mathematics
1 answer:
Naily [24]2 years ago
8 0

3/8 + 34/16

15/6 can be simplified to 2 1/2

The answer for 3/8 + 34/16 can be simplified to 2 1/2

You might be interested in
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→[
Ivenika [448]

Answer:

The following are the solution to the given points:

Step-by-step explanation:

Given value:

1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}

Solve point 1 that is \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\:

when,

k= 1 \to  s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\

                  = \frac{1}{2} - \frac{1}{3}\\\\

k= 2 \to  s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\

                  = \frac{1}{3} - \frac{1}{4}\\\\

k= 3 \to  s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\

                  = \frac{1}{4} - \frac{1}{5}\\\\

k= n^  \to  s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\

Calculate the sum (S=s_1+s_2+s_3+......+s_n)

S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\

   =\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\

When s_n \ \ dt_{n \to 0}

=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\

\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}

In point 2: \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}

when,

k= 1 \to  s_1 = \frac{1}{(1+6)(1+7)}\\\\

                  = \frac{1}{7 \times 8}\\\\= \frac{1}{56}

k= 2 \to  s_1 = \frac{1}{(2+6)(2+7)}\\\\

                  = \frac{1}{8 \times 9}\\\\= \frac{1}{72}

k= 3 \to  s_1 = \frac{1}{(3+6)(3+7)}\\\\

                  = \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\

k= n^  \to  s_n = \frac{1}{(n+6)(n+7)}\\\\

calculate the sum:S= s_1+s_2+s_3+s_n\\

S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\

when s_n \ \ dt_{n \to 0}

S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066

\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}

8 0
3 years ago
Please help me with this question
Masja [62]
What is your question?
5 0
3 years ago
If a population consisted of 1000 people, a sample of the population could
Levart [38]

Answer: 100

Step-by-step explanation: 10%

3 0
3 years ago
Cons A has a radius 6 units and height 4 units fond one possible radius
Anastaziya [24]

Answer:

A possible solution is that radius of cone B is 2 units and height is 36 units

Step-by-step explanation:

Step-by-step explanation:

The volume of a cone is given by

where

r is the radius

h is the height

Here we are told that both cones A and B have the same volume, which is:

And

(2)

We also know that cone A has radius 6 units:

and height 4 units:

For cone B, from eq.(2), we get

One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.

4 0
3 years ago
Hellpppppppopppppppppppppp meeeeeeeeee pleassssse
Ilya [14]
????I don’t get what u need help with
5 0
3 years ago
Other questions:
  • 2. Change the fraction to a decimal<br>A 6/100 <br>B 43/100<br>C 3/10<br>D 4 23/ 1,000​
    10·2 answers
  • Find the values of x and y
    12·1 answer
  • 20. Math and Science There are 6 pure
    10·1 answer
  • 1. fill in the blanks below and write and evaluate an example of a function part1: Ashley earns 17 per hour. define the variable
    9·1 answer
  • Which numbers below can be placed in the empty cell so that the table continues to represent a function? Select all that apply.
    8·1 answer
  • Large and small cans of peanuts were sold at a school fundraiser. One student sold
    14·1 answer
  • What is the solution to this equation?<br><br> 5x+3=2x-6
    9·2 answers
  • PLEASEEE HELLPPPP 20 POINTSHow can I find a repeating decimal? fraction to decimal
    9·2 answers
  • Please answer now! i will mark brainliest!
    10·1 answer
  • 3(2-3+4) <br><br>math problem help me to slove​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!