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
motikmotik
2 years ago
14

We are given a sequence of five non-zero numbers, where the sum of each term and its neighboring terms is 15 or 25. Find the sum

of all the terms in the sequence.
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
3 0

We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.

We will see that the sum tends to infinity.

So we have 5 terms;

A, B, C, D, E.

We know that the sum of each term and its neighboring terms is 15 or 25.

then:

  • A + B + C = 15 or 25
  • B + C + D = 15 or 25
  • C + D + E = 15 or 25

Now, we want to find the sum of all the terms in the sequence (not only the 5 given).

Then let's assume we write the sum of infinite terms as:

a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + ...

Now we group that sum in pairs of 3 consecutive terms, so we get:

(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ...

So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.

Then we have:

(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) +  ... \to \infty

If you want to learn more, you can read:

brainly.com/question/21885715

You might be interested in
Consider the line – 2x - 5y= 2.
Trava [24]

Answer:

Step-by-step explanation:

5 0
2 years ago
When does a limit exist.
kykrilka [37]

Answer:

In order for a limit to exist, the function has to approach a particular value. In the case shown above, the arrows on the function indicate that the the function becomes infinitely large. Since the function doesn't approach a particular value, the limit does not exist.

Step-by-step explanation:

6 0
2 years ago
If three men working at the same hourly rate are paid a total of $52.08 for a day's work, how much should be paid to five men at
gladu [14]
The five men would be paid $10.41 each at the same hourly rate
4 0
3 years ago
Read 2 more answers
|x-5|&lt;20<br> What is the solution
postnew [5]
Your solution would be x<25
7 0
3 years ago
Read 2 more answers
Guys please HELP ASAP!!!!!!!
balandron [24]
R(9,0)
S(8,-4)
T(7,4)
V(6,0)
5 0
3 years ago
Other questions:
  • What is 59÷413 ( estimate )
    13·2 answers
  • What is the work for 100 - 6x = 160 -10
    14·2 answers
  • An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) an
    10·2 answers
  • What number multiplied two times by itself equals 8?
    11·2 answers
  • Please help with these 2!! Thank you
    5·1 answer
  • Simplify the following equation: 5^2 -4/5+2
    6·1 answer
  • What is the probability of the spinner landing on the d?
    9·1 answer
  • Rization
    10·2 answers
  • Determina el resultado de la siguiente operación -2 -7 -9
    15·1 answer
  • No links, provide full answer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!