The first 5 terms of a number pattern are 4,9, 14, 19, 24, ... Which expression is equivalent to the value of the nth term in the pattern?

Q: How many different three-digit numbers can be formed using the digits 3,4,8,5,7,1, and 6 without…

A: Given problem:- How many different three-digit numbers can be formed using the digits 3,4,8,5,7,1,…

Q: A quiz consists of 3 true-or-false questions.  In how many ways can a student answer the quiz?

A: Given that there are 3 true or false questions. Each question has 2 possible outcomes. That is true…

Q: How many numbers in the set {1, 2, 3, ..., 346} are divisible by 5 or 7 ?

A: In the given problem we have to find how many numbers in the set 1, 2, 3, . . ., 346 are divisible…

Q: How many different five-digit numbers can be written using the digits 0, 3, 3, 5, 5 ?

A: we will see in next step

Q: Determine the number of natural numbers less than 700 that can be written using the digtits 5,6,7,9?

A:

Q: (a) How many five-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5.6 and 7, if each…

A:

Q: How many five digits number can be form using the integer 0,1,2,3,4,5,6,7 if  Repetition is allowed…

A:

Q: Octal numbers are made using the eight digits 0,1,2,3,4,5,6,7. How many octal numbers are 4 digits…

A:

Q: How many different​ three-digit numbers can be formed using the digits 3, 4, 2, 5, 8, and 7…

A: To find how many different​ three-digit numbers can be formed using the digits 3, 4, 2, 5, 8 and 7…

Q: Use inductive reasoning to predict the next number in the list. 2, 7, 3, 2, 8, 3, 13, 8, 18, ?

A: We have to use inductive reasoning to predict the next number in the list. 2, 7, -3, 2, -8, -3, -13,…

Q: Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Given Information: Digits = 2, 4, 6, 7 and 9 To find how many five-digit numbers can be formed if…

Q: Find the number of permutations of the letters in the word COCONUT.

A: Here, the word coconut has total 7 latter . Now there are repetition in latter C and O. Here, C is…

Q: determine the numbers of ways to deal 13 cards on the table having exactly 2 aces from a standard…

A:

Q: Suppose you have a number of n digits that can be 1, 2, 5, or 6. How many numbers contain one or…

A:

Q: How many ways can you write a 5 digit number such that some of the digits repeat? (Note: 010 is a 2…

A: Given query is to find the ways to write 5 digit number.

Q: . Use inductive reasoning to predict the next number in each list: 1) 2, 4, 8, 16, 32, 64,. 2) -2,…

A:

Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

A:

Q: How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right…

A: The word education has 9 letters in which 'AEIOU69f4fc43-162e-4e8b-82a6-efea9c821b47' are vowels.…

Q: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

A: How many numbers consisting of 5 digits can be made from 1,2,3,4,5,6,7,8,9?

Q: How to form the digits 2,9,6,4 and 3 from the greatest 5-digit odd number

A: To find the greatest 5-digit odd number

Q: How many multiples of 6 are in the set {171, 172, 173, ..., 286}?

A: Given set is 171,172,173,174,.......,286. We have to find the number of multiple of 6 in the given…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

A:

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A:

Q: How many three-digit number with no repeat can we make using digits from {1,2,3,4,5}

A: three-digit number with no repeat can we make using digits from {1,2,3,4,5} here we have 5 choices…

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

A:

Q: A quiz consists of 6 true-or-false questions. In how many ways can a student answer the quiz?

A: Given that there are 6 true or false questions. Each question has 2 possible outcomes. That is, true…

Q: If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 4- digit number…

A:

Q: Find the number of ways in which 9 different computer games can be shared out between Wainah, Jingyi…

A: Here there are 9 different computer games that can be shared between Wainah (W), Jingyi (J) and Hebe…

Q: How many three-digit numbers can be formed by using the numerals in the set {1,2,4,5,6,7} if…

A: Hence,three-digit numbers can be formed by using the numerals in the set {1,2,4,5,6,7} if repetition…

Q: How many natural numbers are there between -16.5 and 12.5 on the number line?

A: Natural numbers are a part of the number system which includes all the positive integers from 1 till…

Q: How many positive numbers less than 300 are divisible by 7 but not 5?

A: We need to find positive numbers less than 300 that are divisible by 7 but not by 5. First count the…

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

Q: A planning committee for a major development project must consist six members. There are eight…

A: There are  6 seats and a total of 13 members, 8 architects and 5 engineers. Part 1: At least 3…

Q: In how many ways can you write a 5 digit number such that all the digits are even or all the digits…

A:

Q: A 4-digit number is selected from the numbers †,2,3,4,5,6} where the digits are selected withou…

A: Available Digits : 2,3,4,5,6   a) 4 digits numbers  : For first digit 5 options available, for…

Q: a football  tryout From a group of 15 people, a team  of 12 people is selected. In how many…

A: We havevto find no. Of combinations possible.

Q: How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?

A: Here we have to find  How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?…

Q: Suppose 8 cars start at a car race. In how many ways can the top 3 cars finish the race? The number…

A: We have to find number of  ways to arrange  3 winer..

Q: Determine the numbers of ways to deal 13 cards on the table having aces of diamonds and clubs from a…

A: GivenNo.of cards to deal on the table =13No.of Ace of diamond cards = 1No.of Ace of club cards = 1

Q: 2. Identify the pattern in the list of numbers. Then use this pattern to find the next number. 4, 8,…

A: In this question, we have to find out algorithm in pattern and solve for next number.

Q: What is the value of the whole number N, if: N ofof of of 100?

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 16…

A:

Q: Given 9 digits,   1,23,4,5,6,7,8,9, how many 3-digit numbers could be formed without repetition of…

A: Given ,total no.of digits=9 (1 to 9)

Q: How many different numbers which contain from four digits or fewer can be formed from the digits A,…

A: Digits can be taken with replacement   Given are 5 letters:   A,B,C,D,E AB<4   and C,D,E >=4…

Q: On a number line, what other number is the same distance from −2.8−2.8 as −7.2−7.2 is?

A: -7.2 is at a distance of 'x' units from -2.8∴   x= -2.8-(-7.2)     x = 7.2-2.8 = 4.4 units

Q: How can I find the average of the record temperatures for these 20 days? 29, 4, 6, -6, -6, 19, -10,…

A: We have to find the average

Q: The natural numbers are 6 € P N={1,2,3,...}. The prime numbers are P= {2,3,5,7...}. True or false?

A:

Q: When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between…

A:

Q: from the list 0, 14, 2/3 , π, √7, -11/14 , 2.34, -19, 55/8, -√17, 3.2 ̅1, and -2.6, identify each of…

A: Given: The list of numbers 0, 14, 23, π, 7, -1114 , 2.34, -19, 558, -17, 3.21, and -2.6. To…

Q: How many 3-digit numbers with no repeated digits using 4, 5, 6, 7, 8 can be a. less than 520? b.…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.