{10, 11, 12, 13, 14, ...} Assume the first term is a1. An

Q: (-1)" n- In n

A: We have to use alternative test here.

Q: How many terms are there in the expansion of (a+b)48 after like terms are collected?

A: This question is related to binomial expansion. We will solve it using given information.

Q: 11: Find the sum of the first 22 terms of the AP : 8, 3, -2, . .

A: Sum of first n terms of a Arithmetic Progression with first term a and common difference d is  Sn =…

Q: How many days must be selected from the year to guarantee that at least 4 falls in the same…

A:

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A: A license plate has four letter letters followed by two digits excluding I, O, Q, U and 0, 1, 2, 3.

Q: Be able to demonstrate the fact that at least 10 of the 64 days selected must occur on the same…

A: let we have selected 64 daysThen day 1 is any one week day from 7weekdaysLet day 1 is weekday xAfter…

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: Suppose each license plate in a certain state has three letters followed by three digits. The…

A: * License plate must have       3 letters and 3 digits ; repetitions allowed.Also , letters H and L…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

A:

Q: Only 3 ships dock on a remote port. One ship docks every other 8 days, the second ship every 10…

A: We have to find out the number of days the port is empty i.e the port is free

Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A: Given that the license plate has two digits followed by two letters again followed by two digits. Q…

Q: Find the fourth term m the papansion of

A: 1-23x36 use the binomial theorem a+bn=∑i=0nnian-ibi 1-2x336=∑i=066i· 16-i-2x33i

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: 1. Find the 12th term of 8, 3, -2,...

A:

Q: How many numbers between 1 and 10000 have the digits 1,3, and 5 such that each digit appears exactly…

A: Here Numbers between 1 and 10,000 have digits 1,3,5 and each appears exactly once only

Q: a) Prove or disprove = . 3

A:

Q: A sonnet is a 14-line poem in which certain rhymingpatterns are followed. The writer Raymond…

A: a). How many sonnets can be created from the 10 in the book? There are 10 possibilities for each 14…

Q: Assume that today is Monday. Determine the day of the week it will be at the end of each of the…

A:

Q: 5.Find the product of the first five terms of a GP, if its third term is 4.

A:

Q: Prove N.又

A: Note as per our guideline we are allowed to do 1 question at a time. Please post other questions…

Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A:

Q: How many frienda should Ziad have on Facebook so that on a day of the year (366 days) he receives 6…

A: This question is about application of discrete maths

Q: find the nth term of 1/2, 1/4, 1/6, ... , n = 7

A:

Q: Suppose each license plate In a certain state has three letters followed by three digits. The…

A:

Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A: To understood this, consider a problem in which there are r vacant inline spots, each of the spots…

Q: Find a formula for the general term a, {5, 8, 11, 14, 17, .} 5n + 3 On+3 O 3n + 2 O 2n + 3

A: We can answer the question as below

Q: Using the pigeonhole principle How many numbers must be selected from the set {1, 3, 5, 7, 9, 11,…

A:

Q: 22 Find the 17th term in the expansion of (20 (2а-b)*

A:

Q: Show that there are no prime triples other than 3, 5, 7.

A:

Q: 1) A, = 0, 1, 1, 2, 2;, 3, 3;, 4..; find the 40h term and the sum of the first "21 terms.

A: Nothing

Q: 1. Show that b, = (n!)'/n > 20.

A: Consider n!1n=an1n.

Q: Suppose each license plate in a certain state has three digits followed by three letters. The digits…

A:

Q: Show that if 2n−1 is prime then n is prime.

A: We have to show that if 2n-1 is prime then n is prime.

Q: set of two - digit numbers obtained from the digits 1

A:

Q: How many ways can you select 4 numbers between 0 and 19 so that no two are consecutive? Hint: Can…

A: Number of ways to select 4 numbers from 0 to 19 that is from 20 numbers, such that none of the two…

Q: If an = -1+ 8(-1)", list the first five terms of an, starting with n = 1: {a1, a2, a3, a4, az} =U

A: We have to find the term

Q: Find the 15th term of the geometric 1,2,4, .. O 65, 536 O 8, 192 O 16, 384 O 32,768

A: Hence option (c) is correct.

Q: Show that the principle of mathematical induction implies that I is the leact p natural number.

A: Solution of the problem as follows

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A:

Q: Express 5^7 using base e

A: From the given information the given expression is:

Q: If 3rd and 9th term of an A.P. are 4 and -8 respectively

A:

Q: If the 2nd, 3rd  and 4th term in a GP are 12, 36 and 108   What is the 1st term and the common ratio

A: It is given that, the 2nd, 3rd and 4th term in a GP is 12, 36 and 108.

Q: 4. If ba = 3, 6, 12, 24, ... a. Determines the ninth term of thesuccession. b. Determines the…

A:

Q: n that includes all terms up to

A: The initial value problem is , w''+7xw'-w=0. It is given that w0=6, w'0=0. w''+7xw'-w=0. To find the…

Q: yields a true statement when n is replaced by any positive integer.

A: The above statement is true. Step-2 i explained in detailed explanation

Q: Find the sum of all integers from 41 to 83. The sum of all integers from 41 to 83 is

A: Detailed Solution and Explanation is given below....

Q: 5. Find the middle term in the expansion of; (+)* 12

A: Given expression x2+2x212 The objective is to find the middle term in the expansion.

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A:

Q: find the nth term of 1/5, 1/10, 1/15, ... , n = 10

A: In this question we have to find the nth term where n is 10.

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given expression: 3c+c247 Concept used for the general term:…