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
kykrilka [37]
2 years ago
11

Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2......

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

Answer:

  • See below

Step-by-step explanation:

<u>Given sequence:</u>

  • log x + log√2, 2logx + log 2, 3logx + log2√2, ...

a)

<u>The terms can be rewritten as:</u>

  • T(1) = log x + log√2 = log x√2
  • T(2) = 2logx + log 2 = 2logx + 2 log√2 = 2log x√2
  • T(3) = 3logx + log2√2 = 3logx + 3log√2 = 3log x√2
  • ...
  • T(n) = n log x√2  (option A)

b)

<u>Sum of the first n terms:</u>

  • log x√2 + 2log x√2 + ... + nlog x√2 =
  • log x√2(1 + 2 + ... + n) =
  • log x√2 (1 + n)*n/2 =
  • 1/2n(n + 1)log x√2

<u>Sum of the first 40 terms:</u>

  • 1/2*40(40 + 1)log x√2 =
  • 820log x√2
You might be interested in
Put in a new
mr_godi [17]

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

3 0
3 years ago
Each side of a square calendar is 19 inches long. What is the calendar's perimeter?
liberstina [14]

Answer:

a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in

6 0
3 years ago
Read 2 more answers
Question 3 options: 45 degrees 50 degrees 60 degrees 40 degrees
viktelen [127]

Answer:

60 degrees

Step-by-step explanation: beacuse its 60 egress

6 0
4 years ago
Pugsley worked at the pumpkin patch 4/1-2 days last week if he gets paid $94 per day how much money did pugsley earn last week
PolarNik [594]

Answer: he made $423

Step-by-step explanation: You multiply $94 by 4.5 and that's how I got the answer.

7 0
4 years ago
Read 2 more answers
What is the prime factorization of 585?
meriva

The prime factorization is 3 x 3 x 5 x 13

7 0
3 years ago
Read 2 more answers
Other questions:
  • If a quadrilateral has three angles measuring 60° , 45° , and 100°, find the measure of the fourth angle.
    10·1 answer
  • Jorge deposited a check into his account for $100.47. Then, he withdrew $100.47 in cash in the same transaction. What is the net
    7·2 answers
  • Two mechanics worked on a car. The first mechanic charged $85 per hour, and the second mechanic charged $80 per hour. The mechan
    13·1 answer
  • Solve the following equation for x to find the total number of people who became members of a social networking site for a certa
    13·2 answers
  • determine which postulate or theorem can be used to prove that abc is congruent to dcb is it sas, aas, sss, or asa?
    14·2 answers
  • Please help! Urgent! Will mark Brainliest!
    5·2 answers
  • Solye for w. - 24 = 4 +4w Simplify your answer as much as possible. ​
    13·2 answers
  • 2 (4x-2)- 5x=-18<br> HELP!!
    6·2 answers
  • The distance on a map between two locations is
    15·2 answers
  • An arithmetic sequence is defined by its 1st term a1 = 7 and the sum of the first 10 terms s10 = 25. Find the difference d of th
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!