Find S, for the geometric series 4+12+36+--

Q: a1=-2,a7=-8192,r=-4

A: We will solve the geometric series

Q: For the geometric series 100 - 50 + 25 - ..., calculate t10 and s10

A: We have find the 10 th term and sum of 10 terms of given geometric series.

Q: Determine whether the series ∞∑n=13n/n2 converges or diverges.

A: We will apply Ratio Test to check for the convergence of given series:Ratio Test: Suppose we have…

Q: find the all composition series of Z120 .

A: find the all composition series of Z120 .

Q: 2 Find the first five terms of a power series for 4 - 3x

A:

Q: Evaluate the infinite geometric series. 4 – 2+1-+.. 0 3 2/3 O 8/3 O no sum

A: Given, the infinite geometric series,4 - 2 + 1 - 12 + ................................∞a = 4, r =…

Q: Evaluate the geometric series or state that it diverges.

A:

Q: Find the sum of the series n-1 1 n(n+2)

A:

Q: Vhat is the sum of the series En=0 А. 2 В. -2 N/3 C.

A:

Q: Find the sum of the series: n=0 (-1) 16-2 (2n)!

A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: A- Find the sum of the following series: 2n=0 2 ()" 2- Σ(- 1)" - (-1)"

A: A. 1. Given: ∑n=0∞215n The above equation can be written as: ∑n=0∞2·5-n Pull the constant out of the…

Q: Find the sum of the first 8 terms of the series: -6-1 +4+ ... O 92 O 99 O 18 O -11

A: Given : Series -6 -1 + 4 +....   To find : Sum of first 8 terms?

Q: expand 1/(1+x)^1/4 as a power series

A:

Q: Find 21st term of series 13,16,19

A: Given problem:- Find 21st term of series 13,16,19

Q: Find the sum of the telescoping series k=1

A: Given telescopic series:

Q: Evaluate the geometric series or state that it diverges.

A: Given: The geometric series ∑k=0∞3-π-k, To evaluate: The given series if it is convergent.

Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

Q: What is the sum of the geometric series 4 2,341 256 525 64 2,343 256 3,069 256

A: To find: Sum of the series

Q: 2 1. Find the sum of this telescoping series n(n+ 1)

A:

Q: Write the first five terms (or the series in summation notation) of the power series for x 3cos(x2).

A:

Q: Find the Arithmetic Series. 19, an = 309, 1 n 30

A:

Q: 25 6x(-2)* k31

A:

Q: n of a series with its own lagged values is called

A: The correlation of a series with its own lagged value is called as autocorrelation

Q: 1 Σ ak-1 k(k+ 1)(k + 2)

A: Given: ∑k=1∞1k(k+1)(k+2)

Q: Find the sum of the series.

A: The series starts from the term n = 4 , since all the terms of the series are positive.

Q: [9]. Suppose that a ball is dropped from an initial height of 300 feet, and subsequently bounces…

A: The initial fall h=300 The first rise & fall 2*.9× 300 The 2nd rise & fall…

Q: Find the sum of the series: n=0 1-2 (-1)" (1) " 2n + 1

A:

Q: Find the 12th term in the series 6,3,2

A: Given series 6,3,2,... The main objective is to find the 12th term in the series.

Q: Evaluate each finite geometric series. 5. 8- 4+2- 1+.+ a11

A: Sum of the geometric series formula can be decided based on the value of the common ratio r. The…

Q: Find 21st term of series  12,16,18

A: n=21 tn=a+n-1d a=12, d=4 t21=12+204 t21=12+80

Q: Find 51 term of series 4,8,12,16..

A: The given sequence is 4,8,12,16... To find 51th term

Q: 10 -4)(-2)*-:

A: We have to find sum

Q: Compute and find the exact sum of the following series. 4-5"-2 10. n=3 6"

A: Solving

Q: Find the sum of the series. 9n n-1

A:

Q: Determine if the geometric series converges 3 in 3 + + ..

A: we have to determine whether the given series is convergent or divergent also we have to find the…

Q: 3) Σ

A:

Q: 8. Show that 0.22 = (Use the infinite geometric series method)

A:

Q: 2 Find azin a geometric series for which S, = 3045, r = and an 120. |3D 5

A:

Q: Evaluate the geometric series or state that it diverges. 3.4k 7k k= 3

A:

Q: Find a power series for + 3.

A:

Q: Determine whether the series el/n n2 converges or diverges. n=1

A:

Q: Find the sum of the series: n=0 x7n-6 n!

A:

Q: Find the Geometric Series a1 = -1, r = 3, n 9

A: Given a1=-1, r=3 & n=9we know that sum of n-terms in geometric series is sn=a1(rn-1)r-1…

Q: Evaluate the geometric series 7. 1- 1 24.5m-1 m 1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 5. n22

A:

Q: Determine whether the series Σ is k+4

A: we have to determine whether the given series is convergent or divergent using Kth - term…

Q: Find the sum of the series Σ[1/n - 1/(n+1)]  from n=8 to infinity

A: Consider the following expression:…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.