If the 8th term of AP is 31 and the 15th term is 16 more than the 11th term ,find the AP.

Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal…

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n

Q: When multiplied out, what are the first 4 terms of (2x+y)¹0? Show your work for full credit.

A:

Q: Five years ago, a boy was 1/5 as old as his father. Thirteen years from now, the boy will be half as…

A: Let present age of boy be x years. And present age of father be y years. Five years ago, Age of…

Q: The 10th term of an AP is 75 and the sum of the first 15 terms is 1035. Write two equations in terms…

A: Solution:          Answer: The first term is 48 and the common difference is 3

Q: The first term and the last term of an AP are 17 and 350 respectively .If the common difference is 9…

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Q: The 50th term is 1000, and the common difference is 6. Find the first and second terms.

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Q: The sum of 5th and 9th terms of an AP is 72 and the sum of 7th and 12th term is 97.find the AP

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Q: In a GP the 8th term is 384 and the 3rd term is 12. Find the sum of the first 10 terms

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Q: If 13th and 19th term of an AP are 4 and 8 respectively .which term of AP is zero

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Q: In three years, Aldrin’s grandfather will be six times as old as Aldrin last year. The sum of their…

A: Given that Aldrin's grandfather age is six time as old as Aldrin last year. The sum of their ages is…

Q: Find all ways how to rewrite fraction - as the sum of two fractions with 1 as the numerators and the…

A: 118+19=1+218=318=16 Hence 118 and 19 are two fractions with numerator as 1 and their sum equals to…

Q: 8. Becca is twice as old as Susan and Greg is 9 years older than Susan. 3 years ago, Becca was 9…

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

Q: Find the 8th term of an AP where the sum of first and third terms is (18) and the difference between…

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Q: If the 8th term of an AP is 31 and the 15th term is 16 more than th 11th term ,find the AP

A:

Q: Jane's mother is 3 times as old as Jane. In 14 years, she will be twice as old as Jane is then. How…

A: Here I am attaching image so that you understand each and every step. Jane's mother is 42 years old.

Q: When the positive integer n is divided by 6, the remainder is 2. What is the remainder when 24n is…

A: Given  When the positive integer n is divided by 6, remainder is 2

Q: Find all ways how to rewrite fraction as the sum of two fractions with 1 as the numerators and the…

A: Assume 1x+1y=16 where x and y are natural numbers.   Solving,x+yxy=166x + 6y = xy

Q: A large pipe can empty a pool in 6 hours and a small pipe can empty the same pool in 9 hours. How…

A: Given that a large pipe can empty a pool in 6 hours and a small pipe can empty the same pool in 9…

Q: an AP the 4th Term is 23 and the 11th Term is 58. What is the sum of the first twenty terms?

A: We  have to check

Q: 9x where Written in simplest form, the fraction 9-2 13, is equivalent to

A:

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

A: A geometric progression or a geometric sequence is a sequence of non zero numbers, where each terms…

Q: In a GP the 6th term is 972 and the 3rd term is 36. Find the sum of the first 10 terms

A: It is an important part of statistics. It is widely used.

Q: If the first term and last term of an AP are 17 and 350 respectively,If the commom difference is…

A: The nth term of an A.P with first term a and common difference d is given by; an=a+(n-1)d Therefore…

Q: In an AP the first term is 8 , nth term is 33 and the sum of first n terms is 123. Find n and the…

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Q: In an A.P., the sum of the last four terms is 20, the product of the second term and the fifth term…

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

A: In a GP the 6 term is 16 and the 3 term is 128. To Determine the sum of the first 10 term and the…

Q: The first term and the last term of an AP are17 and 350 respectively.If the common difference is…

A:

Q: There is a teacher that is 42 years old, This boy is 12 years old. In how many more years will the…

A: Consider the age of teacher be T and age of boy be B. T=42 yearsB=12 years Consider, after n years…

Q: A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age…

A:

Q: Fidn Three consecutive odd integers so that theee times the sum of the first as well as the third is…

A:

Q: In an AP the 9th term is 2 times the 4th term and the 12th term is 78. What is the sum of the first…

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Q: If the 10th term of  an AP is 52 and 17th term is 20 more than the 13th term find the AP

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Q: In an AP the 4th Term is 23 and the 11th Term is 58. What is the sum of the first twenty terms?

A: First find first term and common difference Then use summation formula

Q: If a savings account pays 3% simple annual interest, a deposit of $250 will earn $______ in 2 years.…

A: The formula of Simple interest is, SI=principal amountp×rater×timet100 it is given that rate is 3%…

Q: the sum of the first 7 terms if a1=¼, r=-4

A:

Q: In an AP the 9 th Term is 2 times the 4 th Term and the 12th Term is 78. What is the sum of the…

A: In an AP, The 9th term is 2 times the 4th term.   The 12th Term is 78. The sum of the first twenty…

Q: Find the fraction such that if 2 is subtracted from its term it becomes 4, but if 4 is added to its…

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Q: The first term of and the last term of an AP are 17 and 350 respectively.if the common difference is…

A:

Q: The sum of 5th and 9th terms of an AP is 72 and the sum of 7th and 12th terms is 97.find the AP

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Q: In a GP the 6 th term is 972 and the 3rd term is 36. Find the sum of the first 10 terms.

A: In a GP the 6th term is 972 and the 3rd term is 36.  to find the sum of the first 10 terms.

Q: In an AP the 9th Term is 73 and the 4th Term is 43. What is the sum of the first twenty terms?

A: Given in an AP a9=73 and a4=43 To find S20=?

Q: A and B can paint a certain house, if A works 6 days and B works 12 days, or they can paint the…

A: Given that A and B can paint a certain house if A works 6 days and B works12 days or they can paint…

Q: In an AP the first term is 8 , nth term is 33 and the sum of first n terms is 123 . Find n and d

A:

Q: The 10th term of an AP is 75 and the sum of the first 15 terms is 1035. i. Write two equations in…

A: The arithmetic progression is a series of numbers. The two consecutive terms of the series have a…

Q: Louis is 6years older than kerin and kerin is 4 years older than john.the sum of their ages is…

A: Using algebra & given condition.

Q: A student imagined one number.2 is written to the right side of the number and 14 is added to the…

A: We can solve for the given question using elementry operations. We can write a number in the form…

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.