8. What is the next three terms of 48, 24, 12, 6, 3, ...*

Q: 3. 10 +e-2t = 15

A:

Q: 13. If 1 is 35, what is the sum of Z3 and 8 ?

A: It is observed that lines l and m are parallel and the transverse line is k .  Here the interior…

Q: What does 6!2! 4!3! equal?

A: Using factorial formula:n! = n* [n-1] *[n-2] ------6! = 6*[6-1] * [6-2] * [6-3]* [6-4]* [6*5]     =…

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

A:

Q: Find the 75th term of the AP 6,6–,7,7–,8....Va² +b? 2

A: Given,         The 75th term of the AP sequence 6 , 612 , 7 , 712 , 8.....a2+b2We know that,…

Q: 11 If 3 then r-2 =

A:

Q: If there are 3 representatives from Company A and 4 representatives from Company B meet. If they…

A: This is a application of Fundamental Principle of Counting .

Q: Example 26. In how many ways can 7 gentlemen and 7 ladies be seated at a round table so that no 2…

A:

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

A:

Q: Consider two A.P.'s: S₁: 2, 7, 12, 17,... 500 terms and S₂: 1, 8, 15, 22, ... 300 terms Find the…

A:

Q: 5) r= 2-3 cos O

A: The given equation r=2-3 cosθ

Q: 2. If the sum of three consecutive integers equals 60, what is the

A:

Q: 니,2나 응나

A:

Q: Find 2 if ? = [3, 7, 15, 1] ?

A: Just observe the method carefully and you are done.

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: Is 0 a term of the AP 31 , 28 , 25 , .... ? justify your answer

A:

Q: 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 5 4 3 2 1 -5 -4 -3 -2 -1 -2 -3 -4 -5 -5 -4 -3 -2 -1 1 -5 -4 -3…

A:

Q: Why does the class go from 14-20 instead of 14-19 like the textbook shows? The textbook provides 7…

A: Given

Q: Evaluate  1/2 + 1/4 + 1/8 + 1/16 + ... + 1/1024

A:

Q: Six friends, Brennan, Chad, Heather, Rona, Tracy and Trevor, a theatre. The number of ways that they…

A: It is given that, Six friends, Brennan, Chad, Heather, Rona, Tracy, and Trevor are going to the…

Q: In this example, Ha is the mean value of the differences d for the population of all pairs of data,…

A: 6th  (X) 13 th (Y) D =X-Y (D-Dbar)^2 6 12 -6 1.96 10 13 -3 2.56 9 15 -6 1.96 5 10 -5 0.16…

Q: Find the G.P. of four terms in which the sum of the first and last terms is 133 and the sum of the…

A: Solution

Q: 8. How many ways are there for four men and seven women to stand in a line so that (a) All men stand…

A:

Q: 1 Complete the sentences with some or any. 1 Have you got 2 We don't need 3 Here are letters for…

A: "some" is used with positive sentences. "Any" is used with negatives and questions.

Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…