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
lawyer [7]
3 years ago
11

In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo

n difference.​ Similarly, in a geometric​ sequence, the nth term is given by 1an=a1•rn−1​,
where r is the common ratio. Use these formulas to determine

the indicated term in the given sequence.

The 105th term of 1/2, 1, 3/2, 2,..
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

105th term of given series is

a_n=\dfrac{105}{2}

Step-by-step explanation:

Given series is

\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....

As we can see,

\textrm{First term},a_1=\dfrac{1}{2}

Also,

1-\dfrac{1}{2}=\dfrac{3}{2}-1=2-\dfrac{3}{3}=.....=\dfrac{1}{2}

hence, we can say given series is in arithmetic progression,

with common difference,

d=\ \dfrac{1}{2}

As given in question the nth term in A.P is given by

a_n=a_1+(n-1)d

since we have to find the 105th term, so we can write

   a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}

              =\dfrac{1}{2}+\dfrac{104}{2}

              =\dfrac{105}{2}

Hence, the 105th term of given series of A.P is \dfrac{105}{2}.

You might be interested in
What is 159as a percent
11Alexandr11 [23.1K]

Answer:

159 as a percent = 15900%

Brainiest if helpful!

Step-by-step explanation:

To convert 159 to percent multiply 159 by 100. The result is 15900 percent, or, using the percent sign, 15900 %. Put simply, to change 159 to % move the ″.″ two places to the right.

5 0
3 years ago
Read 2 more answers
Find f(2) if f(x) = 2x + 1.<br> A) 3 <br> B) 5 <br> C) 7 <br> D) 9
Rufina [12.5K]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Write the equation

                                   f(x) = 2x + 1

find f(2)

2.- Substitute x for 2

                                  f(2) = 2(2) + 1

3.- Simplify

                                 f(2) = 4 + 1

                                 f(2) = 5

5 0
3 years ago
Read 2 more answers
I’m having a crisis so please help 7x-19&lt;16
vampirchik [111]

Answer:

5 i believe correct me if im wrong

Step-by-step explanation:

To work this problem out you would do it as if it were just a simple equation

7x-19<16 (you would first have to add 19 to both sides)

7x<35 (then you would divide by 7 to get the variable by itself)

x<5 ( you answer would then be 5)

7 0
3 years ago
What is the absolute value of each number 2 1/3
Arlecino [84]
They are already both positive numbers, so the absolute value of 2 is 2, and the absolute value of 1/3 is 1/3.
8 0
3 years ago
Andrew makes $6 an hour plus $9 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week
ladessa [460]
6x40=$240 dollars a week
90dollars/$6 an hour =15 hours overtime
if andrew earned 330 dollars in 1 week he worked his regular40 hours and made $240+$90/$6 an hour he made working over time for 15 hours he must have worked 55 hours all together
8 0
3 years ago
Read 2 more answers
Other questions:
  • Rob and his two friends were digging holes to plant some new trees. The holes need to be at least 3 feet deep. So far robs hole
    10·1 answer
  • Uw
    14·1 answer
  • Need help with these last two questions, tysm if you do :D
    13·1 answer
  • The hands of a clock form the same angle at various times of the day. For example, the angle formed at 2:00 is congruent to the
    9·1 answer
  • Express 245 as a product of its prime factors
    13·1 answer
  • Jenny climbed up 35 steps
    13·1 answer
  • Help Plz No Bots ASAP FOR TEST!
    6·1 answer
  • Solve this question 15+18/4​
    5·2 answers
  • Assume propositions p, q, and r have the following truth values: 2
    8·1 answer
  • What cubed is equal to 1000?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!