Q: 1. If the sum of n terms of an A.P. is 2n + 3n^2. Find the nth term.

A: Note: according to our guidelines we can answer only first question 1) If the sum of n terms of an…

Q: Certain bacteria cells are being observed in an experiment. The population triples in 1 hour.  If at…

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

A: Consider the given expression. y3-12c29 The binomial formula is defined as,  a+bn=∑k=0nnkan-kbk As,…

Q: A group of scientist believes that their new medicine can heal more than 40% of patients. The…

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Q: Write out all terms of the sum and calculate: 4 i (k2 – 2k) k =1

A: Here the given series is ∑k=14(k2-2k) Therefore, The 1st term is    (1)2-2·1     for k=1…

Q: the 9-th terr

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Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: Find by direct calculation. Find by conditioning on the sum of these two numbers.

A: Travellers living in Shenzhen depart 'm' persons daily to Hong Kong West kowloon Station On a…

Q: ansform of s+5

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Q: If 6th term of a G.P. is 9375 and its 4th term is 375.Find its 9th term.

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Q: 12. In an experiment, there are 5 bacteria in a petri dish initially. This bacteria doubles in every…

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Q: Find the term indicated in the expansion .

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Q: soblem : A system has 5 identical components connected in series. If it is desired n have a system…

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Q: You accept a new job with a starting salary of 48,000. Because of your stellar preformance at work,…

A: The starting salary of the new job is 48,000.Percentage of salary raise at the start of second year…

Q: There are 500,000 people living in the suburbs and the city each. Each year 80% in the city move to…

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Q: If m times the nth term of an AP is equal to n times its nth term, show that the (m + n) th term of…

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Q: Suppose each of them tells 1 person, and then everybody tells exactly 1 other person, and so on.…

A: Given,  each of them tells 1 person, and then everybody tells exactly 1 other person, and so on.…

Q: Find the 4th term from the end in the expansion (2a + 5b)8.

A: Let's find 4th term from the end.

Q: A population of fruit flies is growing in such a way that each generation is 1.15 times as large as…

A: Given that: Population of fruit flies is 1.15 of the last generation in each new generation.Number…

Q: A certain type of bacteria divides every 5 s. If three of these bacteria are put into a petri dish,…

A: Given: The initial number of bacteria = 3 The bacteria divides in every 5 s. That is, Number of…

Q: The fourteenth term is 2 /3 , and the ninth term is 1 /4 . Find the  first term and the nth term.

A: Given, a14=23a9=14 We know that, an=a+n-1d, where an is the nth term, a is the first term and d is a…

Q: Denver's population is 856,000 and is growing at a rate of 3.5% per year. Find the population in 8…

A: Calculation of population after 8 years are as follows

Q: 1200 is placed in an account at 4% componded annually for 2 years it is then withdrawn at the end of…

A: $1200 is placed in an account at 4% compounded annually for 2 yearsit is then withdrawn at the end…

Q: ex deposits  1000 dollars  into an account that earns a 5% coumpond interst. how much intrest will…

A: We have to solve given question:

Q: 1. Find the sum of the first 50 even positive integers.

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Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the…

A: Solution                                                               worth…

Q: A plant grows 5 inches taller each day. During a period of 3 days, how many different values will…

A: Explanation of the answer is as follows

Q: A sequence has nth term given by an = 5n – 2, find the value of n for which an = 153. A sequence has…

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Q: If a viral cell penetrates a healthy rabbit, the cell will divide into two in about one day. After a…

A: We have to find the day when the rabbit dies.

Q: A culture initially has 3,000 bacteria, and its size increases by 3% every hour. How many bacteria…

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Q: At 7 a.m., a colony of 100 bacteria is placed on a petri dish where the population will triple every…

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Q: 6h term of a G.P. is 9375 and its 4th term is 375. ind its 9th term.

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Q: If in the expansion of (1 + n}+", the 5th term is 24 times the 3rd term, fnd the value of n.

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Q: Find the indicated term of each 49. sixth term of (4h - j)8

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Q: he sum of the z-

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Q: 3. A city has been found to have a population that triples every four years. If the city's…

A: Given that that city has been found to have a population that triples every four years and the…

Q: Suppose Suppose an = 2n² – 5n + 5. Find a closed formula for the sequence of differences by…

A: It is given that an=2n2-5n+5. Thus, an-1=2n-12-5n-1+5=2n2-2n+1-5n+5+5=2n2-4n+2-5n+5+5=2n2-9n+12

Q: -)) In how many days does 7 masters paint the wall painted by 5 masters in 14 days

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Q: Find the sum of each series

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Q: A witness in a hit and run accident is interviewed for the plate number of the car.  The witness is…

A: Given: Number of letters in the number plate the witness can remember is, n(l)=2. Number of numbers…

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: A and B can do a piece of work in 18 days. B and C can do it in 24 days. A and C can do it n 36 days…

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Q: 2020, the hourly minimum wage for a City of Madison worker was (k) $_10.55____. Suppose the hourly…

A: Given query is to find the formula for hourly wagres after t years.

Q: If 6th term of a G.P is 9375 and its 4th term is 375.Find its 9th term

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Q: The five-day flu is a rare disease. If contracted, on day one of the disease the infected person…

A: we are allowed to solve 3 subparts only  (a) On the first day, the patient sneeze once i.e. 1 time…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.