1 = 1 +x+x?+ 1-x Ex", I지<1 n=0 1 = 1-x+x2- ... + (-x)"+ 1+x E(-1)"x", x|<1 n=0 x2 ex = 1+x+ 2! x" |x| <0 n! n=0 x sin x = x- 3! x2n+1 +(-1)", (-1)"x2n+1 Σ (2n + 1)! 5! (2n + 1)! |x|<0 n=0 x² x* cos x = 1 2! +(-1)"- (- 1)"x2n Σ (2n)! 4! |x| <0 (2n)! n=0 x2 In (1+x) = (-1)"-x" Σ +(-1)n-1X" -1

Q: Find the sum of the series: 1 + 4 + 7 + 10 + ...+ 43

A: Sum of n natural number is n(n+1)/2

Q: Evaluate the (geometric) series as follows, leave your answer in a fraction format

A:

Q: Find the sum of the series:  1 + 3.5 + 6 + 8.5 + . . . + 101

A:

Q: 33. Find the sum of the following arithmetic series. Σ(8i +3) i=1 A. 726 B. 4,587 C. 561 D. 2,538

A:

Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (−27) + (−32)+...,…

A: We have to find sum of first 7 terms of given arithmetic series.

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 to n terms of the series: 5 + 11 + 19 + 29 + 41.

A:

Q: Determine the sum of the arithmetic series. t1=9, d=4, n=17.

A: Given data is : t1=9d=4n=17 To determine the sum of the arithmetic series.

Q: ?

A: In the given figure, If we rotate the first figure in 90° anti-clock wise we get the second figure .…

Q: 3. Determine the sum of the first ten terms of the geometric series: -2+4-8+...

A:

Q: 2- E(-1)"

A:

Q: Find the sum of the series if the first term is 45, the last term is 429 and the number of terms is…

A: If first term and last term in an arithmetic progression series is given then the formula for sum…

Q: Consider the sum represented by 5∑n=1(20−3n). Write out the terms in the related series. (Your…

A:

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.