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
oee [108]
2 years ago
10

Give the first ten terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to bas

e 2.
(a) The n term is [log n]
(b) The n term is 2^(log n)
Mathematics
1 answer:
Vitek1552 [10]2 years ago
3 0

Answer:

a)

a1 = log(1) = 0 (2⁰ = 1)

a2 = log(2) = 1 (2¹ = 2)

a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849

a4 = log(4) = 2 (2² = 4)

a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322

a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)

a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807

a8 = log(8) = 3 (2³ = 8)

a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )

a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322

b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:

log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that

a1 = 1

a2 = 2

a3 = 3

a4 = 4

a5 = 5

a6 = 6

a7 = 7

a8 = 8

a9 = 9

a10 = 10

I hope this works for you!!

You might be interested in
Simplify the algebraic expression 3x^2 + 8x - 6x^2 + 2x
OverLord2011 [107]
-3x^2 +10x
All you have to do is combine like terms!
8 0
2 years ago
Read 2 more answers
Whats 2-2? I'm 8<br> Please help me
jolli1 [7]

Answer:

0

Step-by-step explanation:

2-2=0

6 0
2 years ago
The standard error of the regression:_________
Lynna [10]

Answer:

the answer is

A. Is based on squared deviations from the regression line.

Step-by-step explanation:

since the numerator of standard error if N, squaring the value cannot give negative value. dependent variable are the squared units

6 0
3 years ago
Pls answer fast I need help
Katen [24]

Answer:

5(2+2s)

= 10+10s

hope it helps <3

4 0
3 years ago
Read 2 more answers
PLEASE DO THIS ASAP! WILL GIVE BRANLIEST, NO FAKE ANSWERS! Read directions on paper. Connect coordinates with ones that match..j
ki77a [65]
Please explain it better than the paper ill help
3 0
3 years ago
Read 2 more answers
Other questions:
  • When the following expression is written in simplest form, what is the coefficient of the variable term? -2.5y + 8y - 10.5y...ch
    10·2 answers
  • What is 98 * 14 <br><br><br><br> ill give brainliest
    12·2 answers
  • A plumber uses 16 inches of tubing to connect each washing machine in the laundry source he wants to install 18 washing machine
    11·2 answers
  • Simplify -2 (4+b+6)-6 (3d-5)
    8·2 answers
  • If you have 80 employees and you grew 116%, what was the amount of original employees?
    15·1 answer
  • Helpppp... 4^3 x (100/25) - 5^0
    10·2 answers
  • Which geometric series diverges?
    8·2 answers
  • Someone help me with this
    13·1 answer
  • Draw the image of ABC under a dilation whose center is P and scale factor is 1/3
    8·2 answers
  • What is the median?<br> A(18<br> B(27<br> C(33.2<br> D(34.5
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!