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

Q: Determine the sum of the following series. 3" + 5" 9n n=1

A:

Q: Determine the sum of the following series. n-1 62 n=1

A: Given series is                                             ∑n=1∞(-2)n-16n also,…

Q: The sum of the geometric series 2 7(0.7 )n is n=0

A:

Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: 10 n(n +2) n=1

A: We have to find the sum

Q: What is the sum of this series?  20/3 + 10/3 + 10/6 + 10/12 + 10/24 + 10/48 + 10/96+...

A: We have to find the sum of the series

Q: Find the sum of the geometric series. 4 n = 1 5/7

A: Consider the given geometric series. Find the first term a, the common ratio r and the number of the…

Q: Find the Sum of the series 2/3 , 4/9, 8/27 .......to infinity

A:

Q: Find the sum of the series    8+ 64/2+ 512/3! + 4096/4!

A: This question is based on power series.

Q: Determine the sum of the following series. (– 4)" -1 6" n=1

A: To find the sum of ∑n=1∞ -4n-16n   ∑n=1∞ -4n-16n = -41-161+-42-162+-43-163+-44-164+....⇒∑n=1∞…

Q: Find the sum of the geometric series 00 26. (0.9)" 1 71-1

A: The given geometric series, ∑n=1∞6.(0.9)n-1

Q: Find the sum of the arithmetic series with 14+23+32+41..., n=7 582 584 O 1168 287

A: Given query is to find the sum of the sequence.

Q: Find the sum of the first 50 terms of the series that begins: 4 +9+14+19+... > 0:00 / 0:09 1325 6450…

A: ap series problem......

Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: Determine the sum, if it exists, of the series. 10 4 h-1 3 9 h=1

A:

Q: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

A:

Q: Find the sum of infinite geometric series: 3 + 3/4 + 3/42 + 3/43 + ......

A: If a+ar+ar2+ar3+..... is an infinite geometric series with common ratio r and r<1. Then, sum of…

Q: 35, (.5n + 307) n=1

A: ∑n=135 (0.5n+307)=∑n=135 0.5n+∑n=135 307  =0.5∑n=135 n+307∑n=135 1

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

A: Given telescopic series:

Q: Find the sum of the finite series 9 + 18 + 36 + ·… +1152? .. O 2529 O 2592 O 2259 O 2295

A:

Q: Calculate the sum of the infinite series S••=5-3+9/5-… •• means infinity symbol

A: Sum of infinite geometrical series with first term a and common ratio r is given as S = a/(1-r)

Q: Determine the sum of the series 9. п(п + 2) n=1 8

A: First step is to break down the denominator in multiplication form to addition or subtraction form…

Q: Find the sum of this infinite geometric series, if it exists. 7 21 63 189 8 16 32 64 -1.75 7.1 7.2

A: Solution : Consider the given infinite geometric series is 78+2116+6332+18964+... The first term of…

Q: Determine the sum of the arithmetic series 5 + 18 +31 +44 + ... 161

A: The given arithmetic series 5+18+31+44+...+161.We need to find the sum of the above arithmetic…

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

A:

Q: What is the sum of the following infinite series?1/4 +1/8 +1/16 +1/32 +1/64 +···

A: Given:      14+18+116+132+164+...   This is infinite geometric series with the first term a=14 and…

Q: Find the sum of the series 1−0,37+0,372 −0,373+…

A:

Q: Find the absolute value of the common ratio of the following geometric series: 1 3 9. - - - 3 2 4 8…

A:

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: What is the sum of the series 00 10 21 21 11 -7)

A:

Q: S,= 1550, n = 3, r=5

A: Topic- geometric sum

Q: Find the sum of the given finite geometric series. 1 1- 3 * 1 1 + ... + 27 1 9. 6561

A: From the given geometric series we can see that first term of G.P. is 1 common ratio is -1/3 We have…

Q: Determine the sum of the telescoping series:

A:

Q: Find the sum of the arithmetic series with 14+23+32+41..., n=7 1168 582 287 584

A:

Q: Find the sum of the geometric series with 4+12+36+108.., n=8 13120 13020 14037

A:

Q: Find the sum of the arithmetic series : 9/2+7/2+5/2+3/2+......

A:

Q: Find the sum of the geometric series. 2.5 15 25

A:

Q: The sum of the geometric series 27(0.7)n Σ7(0.7"η is n=0

A:

Q: Calculate the sum of the series 7 + ++ +

A: We need to evaluate the following sum 7+52+54+58+516+532+······

Q: Determine the sum of the following infinite geometric series: 26 + 13 + + +.... 13 4 O 13 128 26 O…

A:

Q: Find the sum of the geometric series 40-20+10-5+…s6

A: As we know that the expression for the sum of the nth term geometric series: sn=arn-1r-1 Where, 'a'…

Q: 1 1 16. 6 12 24 1 1 384

A:

Q: Find the sum of the series below. 1 Σ In (n + 4) In (n +3). n= 1

A:

Q: Find the sum of the series: 3 + 3.9 + 4.8 + 5.7 + 6.6 + .... + 30. O 445.5 O 462 O 495 O 511.5 O 528

A: It is arithmetic progression problem

Q: Find the sum of the infinite series: 1/3, 1/27, 1/243...

A:

Q: Find the sum of the series: n=0 2-1 (-1)"64"- n!

A:

Q: Use a formula for arithmetic series to find the sum 1+3 +5 +7+ ...+ ... + 197 + 199.

A: Consider the given series 1 + 3 + 5 + 7 +⋯ + ⋯ + 197 + 199.

Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.