What is x the second term in thr geometric series 1/4+×+1/36+1/108+...?
Answers
The second term of this given geometric series is
What is geometric series?
A geometric sequence's finite or infinite terms are added together to form a geometric series. The geometric series that corresponds to the geometric sequence a, ar, ar2,..., arn-1,... is a + ar + ar2 +..., arn-1 Clearly, "series" means "sum." The phrase "geometric series" refers specifically to the total of words with a common ratio between every adjacent pair of them. Finite and infinite geometric series are both possible.
Given a geometric series 1/4 + × + 1/36 + 1/108 +.....
In this series first term(a) = 1/4
second term(a₂) = x
Third term (a₃) = 1/36
ratio(r) = a₄ /a₃
ratio (r) = 1/3
The formula for the nth term of a geometric series is aₙ = arⁿ⁻¹ .....(1)
put these values in equation (1)
a₂ =
a₂ = 1/12
Hence, the second term for the geometric series 1/4+×+1/36+1/108+... is 1/12.
learn more about geometric series Here:
#SPJ5
an=a1(r)^n-1
a2=1/4(1/3)^1
a2=1/12
Related Questions
Nell's mortgage is $50,150 at 10 percent for 30 years. What is her monthly payment if she must pay 8.78 points per $1,000? (Points : 1) $440.32 $439 $422.95 $385.89
What is the sum of (x^2+6x-5) + (2x^2+15)
How to find the probability in a 2-card hand out of a deck of 52 cards that the cards will have different suits.
If the green spinner is spun and then the purple spinner is spun, creating a two-digit number, what is the probability that the resulting number will be 14 or less
true or false
Answers
Answer:
the correct answer is true. easy
Answers
Answer:
False
Step-by-step explanation:
Umbrellas could be used for different reasons besides rain.
Answers
There are 66 sixths in 11.
Answer:
66
Step-by-step explanation:
11x6=66
hope it helped
A 4
B 5
C 6
D 7
Answers
We take the information from the text given, to find the number of pieces.
We have that:
- One piece is 1/4 of the entire pie.
- The other n pieces are each 1/8 of the pie.
Doing this, we get that the number of pieces is 7 pieces, option D.
Sum:
The entire fraction pie is:
The entire fraction is 1, so:
How many pieces of pie are there?
We have to solve the equation for n, so:
6 pieces at 1/8, and the 7th at 1/4. Thus, there are 7 pieces, and the correct answer is given by option D.
A similar question is given at brainly.com/question/21359576
Answer:
D
Step-by-step explanation:
1/4 of the pie is one piece. This leaves 3/4 of the pie. Each remaining piece is 1/2 of the larger quarter piece. The smaller pieces are 1/8 of the pie.
The fraction 3/4 = 6/8.
This makes 6 smaller pieces. each of 3 quarters is split in half.
6 + 1 = 7.
7 pieces in all.
If you do not like arithmetic, draw a picture. Split the pie in quarters. Cut all except for one of them in half. This gives 7 pieces.
B. The study compares two or more treatments (possibly including "no treatment").
C. Data are gathered during the course of the study.
D. The study involves one or more treatment groups and a control group.
E. Replication with different groups of subjects can improve the reliability of the study.
Answers
- The first one is B. The study compares two or more treatments (possibly including "no treatment").
- The other one is D. The study involves one or more treatment groups and a control group.
Answer:
B and D
Step-by-step explanation:
Surveys are only tested with one group
What is the 22nd term of the sequence below?
-9,-3,3,9
Answers
both seem to be arithmetic
first one
adds 9
starts with -7
an=a1+(n-1)d
a1=first term
d=common difference
an=-7+9(n-1)
51 term is
a51=-7+9(51-1)
a51=-7+9(50)
a51=-7+450
a51=443
51term is 443
adds 6 every times
starts with -9
an=-9+6(n-1)
22nd term
a22=-9+6(22-1)
a22=-9+126
a22=117
22nt term is 117