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

Q: In a loan database, there are 31 loans to clients with 16 years of business experience. Also, there…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: - The next three terms of 3, 9, 27, 81, 243 are and (Use ascending order.)

A: Here given sequence for some number  After performing  math operations identifying next three terms

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given,no.of math books=6no.of science books=5no.of english books=4Total no.of books=15

Q: Find the next three terms in: 14, 10, 6, 2, ? , ? , ? .

A: Sequence is a collection of items or numbers that follow a particular rule.  A arithmetic sequence…

Q: If no repetitions are allowed: a) How many three-digit numbers can there be with the digits:…

A: 1,3,4,5,6 are 5 digits  a) We have to pick 3 digits from these 5 digits.  Order will matter, so we…

Q: A Certain bacteria culture triples in a number every day. If there were 100 bacteria at the end of…

A: Let in general there are n0 bacteria after 1 day.  Then after second day, no of bacteria will be 3a0…

Q: 88 is the term of 1, 4,7, .

A: We are given a sequence :1, 4, 7........ Which is an Arithmetic Progression because the different…

Q: 1 In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in…

A: A penny is about 1/16 of an inch thick.

Q: Javier earned $95 in the first week cutting grass, $185 in the second week, and $275 in the third…

A: Arithmetic sequence

Q: Find the formula for the nth term. 6, 11, 18, 27, 38, 51, ..

A:

Q: 3.How many terms of succession -12, -7, -2, 3, 8, ... must be added up for the sum to be 105?

A: Arithmetic Sequence: A sequence is said to be Arithmetic if the difference between any two…

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: 3.52. How many telephone mobile numbers are composed of nine digits such that: (c) each successive…

A: The digits that can fill the numbers are 0,1,2,3,4,5,6,7,8,9 This is an example of permutation

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: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in…

A: The given problem is regarding arithmetic progression series. First-term is given. A common…

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: A theater hall has n rows of seats. The first row has 25 seats, the second row has 33 seats, and the…

A:

Q: 1. In a GP the 6th term is 16 and the 3rd term is 128. Find the sum of the first 10 terms and the…

A: .

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

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

A:

Q: 1) wIN 1/14 DAdd in the missing fractions to complete these number lines. 1 1 2 3 3 2 b) 1 1 1 2 3 2…

A:

Q: In a loan database, there are 20 loans to clients with 20 years of business experience. Also, there…

A:

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

A:

Q: What is the sum of number 10 to 40?

A:

Q: How many seats are there in all 28 rows?

A:

Q: 1)How many terms are included in the list 2, 7, 12, 17.,147?

A: We have to find number of terms in the given arithmetic sequence: 2, 7, 12, 17, ..., 147 Here in the…

Q: Nine men and six women are to line up for a picture with the nine men in the middle. How many ways…

A: It is provided that there are nine men and six women who are line-up for a picture with the nine men…

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

A:

Q: Suppose that the balance of a certain credit card is ₱43,744.53.The credit card company charges 3.5%…

A: It is known that the expression: "x% of y" is same as the expression:"x100×y". Calculate the charges…

Q: B2.c. How many arrangements are there of the letters ofthe word CHEESECAKE a. When repetition is…

A: The given word is 'CHEESECAKE'

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: 9) On Monday, 241 students went on a trip to the zoo. AlIl 5 buses were filled and 6 students had to…

A: Solution Question 9 Given,  241 students went on a trip to the zoo.  All 5 buses were filled and 6…

Q: 3) Order the set of fractions using the number line 1 4 1: 2' 5 3 2 1 14' 3' 2 - -

A:

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: You are to form 3-digit numbers from the digits 1 to 5. How many 3 digit numbers can be formed if a)…

A: Solution of given question is written in below steps.

Q: 1) How many unique sequences of 5 symbols that can be formed from 9 symbols? number of arrangements?…

A: 1) Given n = 9 r = 5 Here we use permutation formula, Prn = P59 = n!(n-r)!=9!(9-5)!=15120 Therefore,…

Q: express 10 as sum of two primes

A: 10 can be expressed as the sum of 7 and 3  i.e., 7+3=10

Q: Write the first six terms of a, = 2"-1-3. О -2, -1, 1, 5, 13, 29 о -5, 1, —11, 13, —35, 61 O 1, 2,…

A:

Q: is the sum of all odd numbers from 31 to 497?

A:

Q: If you make $46,800 and get $2600 raises each year, in how many years will your salary double?…

A: Fixed salary + 2600 times number of years= double of fixed salary Let the number of years is t.…

Q: 4. Determine the sum of 32 – 16 + 8 – 4 to 8 terms -

A:

Q: Determine the number of different 4-book or 5-book purchases can be formed from the 8 different…

A: The number of ways of selecting r things from n non-identical things is given by the expression .…

Q: 3. Copy Central prints black and white or colored copies. Yesterday, they printed 9 black and white…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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

Q: 8. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

A: Given information: Number of guests (n) = 25  Number of handshakes for each guest = n-1Number of…

Q: A classroom has 20 seats and 18 students. (a) How many different ways are there to select any 2…

A: a)Number of ways to select any 2 seats from the 20 available is 20C2 ways = 190 ways

Q: 2) State and use the appropriate formulae, find the sum of the odd numbers from 1 to 199, nclusive.

A:

Q: The 2nd, 31st and last term of A.P. are 7, 4 2 and – 6, respectively. Find the first term and the…

A: We have to find the last term and number of terms.