7. Let {a,} be the sequence defined by a, = n cos(n7) n+1 Do the following. (a) State the theorem that relates the convergence of a sequence to each of its subsequences. (b) Compute lim,n-x0 @2n- (c) compute lim, d2n–1- (d) Use subsequences to prove that {an} diverges. Be sure to state explicitly how the theorem in part (a) is applied.

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: 3 1/4 + 7 1/8

A:

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 5/14+1/6

A: 514+16=15+742

Q: 3. 8-18 2エ-3 %3D

A: Given, 814-x = 92x-3  We will find the value of x

Q: expand (a-b)7

A: The solution is given in the next step.

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: *1.5.11 Add. - 4+(-5) = 4 + (-5) =

A: Introduction: Integers are whole numbers (that is, numbers with no fractions) that include negative…

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: Factor the binomial. 147z° – 108n 8. 10

A: Here we factor the binomial147z8-108n10

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 20/5+5+2*8

A: Consider the given expression

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: factors of 20 that add up to 9

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: V415

A: Given query is to find the square root of 415.

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 10. 15gr, 20s

A: Given

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: 57-24

A: Given that: 57-24

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: 1 3 8.

A:

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: Compute the indicated product.   -1 3   9 2 0   3 9 3

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 17 8 15 Find show work please 2.

A:

Q: 土4 7

A:

Q: 22 7/8 - 7=

A: Given,

Q: nvert

A:

Q: mplify. (76)2

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…

Q: -1-3i 나

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.