he 5th term of a G.P is greater than the 4th term by 27/2 and the 4th term is greater than the 3rd term by 9. Find the common ratio and the 1st term.

Q: The 10th term of an A.P is 52 and 16th term is 82. Find the 32nd term and the general term.

A: Given: 10th term= 52 16th term= 82

Q: The sum of the sum of a and b and the quotient of a and b with b as the dividend…

A: First I have written the sum of a  and b and the quotient of a  and b with b as decided.Then find…

Q: Justify whether it is true to say that the given is the nth term of an AP  1+n+n2

A: We have to say that whether the given nth term is in A.P. where, 1+n+n2 We have given nth term of…

Q: There were some sweets in Bags A, B and C. Tom moved 1/3 of the sweets in Bag A to Bag B. Later, he…

A: let initially bag A contains x sweets let initially bag B contains y sweets let initially bag C…

Q: 16. Jessica calculates that 7 ÷ 3 = 2, remainder 1. When Jessica is asked to write her answer as a…

A: The given problem is to correct the Jessica's problem and to give correct explanation to make the…

Q: A father wants to divide OMR 154 between his sons Ibrahim and Mohammed in the ratio of their ages.…

A: Age of Ibrahim = 20 years  Age of Muhammad= 15 years

Q: The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods,…

A: to find the width of the frame

Q: he numerator of a fraction is 8 less than the denominator. If 1 is added to the numerator and…

A:

Q: In a class of 28 students, 21 are present 16 . and the rest are absent. What is the ratio of absent…

A: Total students = 28 Present students = 21 Absent students = Total Student - Present student Absent…

Q: A cake box contained 2 kinds of cake: strawberry and chocolate. If 2 strawberry cakes were to be…

A: We have to find the fraction of strawberry cakes.

Q: Jake and Sammy are jogging around the same track, and they start side-by-side. Jake finishes a lap…

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

Q: The first three terms of a GP are k+21, k-3 and k-11. Find the value of k, the common ratio and the…

A:

Q: The sum of the 6th and 8th terms of an A.P. is 40 and the product of 4th and 7th term is 220. Find…

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

Q: The lowest mark scored for a certain examination in a statistics class is 11. If the midrange of the…

A: Given that Minimum = 11 Midrange = 29

Q: 2. Ten less than the product of the third and fourth consecutive odd integers is 173, less than…

A: 2) Let the four consecutive odd integers be n , n+2 , n+4 , n+6 According to the given statement,…

Q: e perimeter of a certain pentagon is 10.5 centimeters. Four sides of this pentagon have the same…

A: The perimeter of a certain pentagon is 10.5 centimeters

Q: 14 The first term of a GP is 16 and the fifth term is 81. Given that the common ratio is positive,…

A: By using property of gp.

Q: In a GP, the sum of the second term and the third term is 36 and the sum of the third term and the…

A:

Q: In a class of 30 students, 4 received a grade of A. What fraction of the class did not receive an A?…

A: Total number of students in a class = 30 Number of students who received grade A = 4 Number of…

Q: 11. What is the ratio of any pair of successive Fibonacci terms starting with the first two terms as…

A: Note: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: nth term of an AP  1+n+n2

A:

Q: A cake box contained 2 kinds of cake: strawberry and chocolate. If 2 strawberry cakes were to be…

A: Solved below

Q: Albert and della have the same birthday, when della was 30, albert was 36. how old was delia when…

A: A1. Della's age 30 Albert age 36 Therfore, age difference = 36-30 =6   Let della was x years old…

Q: Anbber band is n inches long If a child stretches the rubber band, and the new length of the rubber…

A: The percentage increase in length is given by the formula final length - initial lengthinitial…

Q: 2 the ratio of the sum of m and n terms of an AP is m*:n“ ,show th " is (2m – 1):(2n – 1) th that…

A:

Q: An average of 3 x 10° tulips are grown, per year, in the Netherlands. An average of 6 x 10° tulips…

A:

Q: there is a small building that is 24 feet tall. The fire fighter is standing 7 feet away from the…

A: Given that, There is a small building that is 24 feet tall. The fire fighter is standing 7 feet away…

Q: culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a…

A:

Q: 4. Jordan has a sister who is three years older than he is, and a brother who is two years younger…

A: let the age of Jordan be x years His sister's age is x+3 years and brother's age is x-2 years

Q: Eight cubic yards of soil that is 50% sand had to be mixed with some soil that is about 10% sand to…

A: Given:8 cubic yards of soil that is 50% sand had to be mixed with some soil that is about 10% sand…

Q: 1)The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. Find the…

A: Average and ratio,  proportion

Q: Q1] If the ratio of the ages of two friends A and B is in the ratio 3:5 and that of B and C is 3:5…

A: It is given that the ratio of ages of A and B is in the ratio 3:5 and and the ratio of ages of B and…

Q: 4.4 The rectangle of Xs shown below is of another original rectangle of Xs. Show what the original…

A:

Q: 1. If the 2nd term of a GP is 108 and the 5th term is 256, find the common ratio and the first term.…

A: Given that  The 2 nd term of the gp is 108 5th term is 256  To find the common factor and first term

Q: A bag contains 63 candies. John, Alana, and Joe divide the candies into three portions using the…

A: Given,          A bag contains 63 candles. John,Alana and Joe divide the candles into three portions…

Q: what number must be added to both numerator and denominator of the fraction 3/7 so that the…

A: Answer and explanation is given below

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: The first term of the AP is p and the common difference is q then find its 10th term

A:

Q: A tomato plant that is 5 inches tall when first planted in a garden grows by 50% each week during…

A: Topic = Algebra

Q: 3. The difference between two numbers is 33 and the ratio between them is 5: 2. Find the numbers. 4.…

A:

Q: There are 46 students in a classroom, and the desired ratio of students to computers is 6 to 1 how…

A:

Q: A flowerbed is decorated with four concentric circles of flowers, in such a way that each circle…

A: To solve this problem we use basic algebra .

Q: A board is needed that is exactly 11/32 in. wide. Can a board that is  3/8 in. be shaved down to…

A:

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

A: We know, in an A.P., an = a + (n-1)d Sn = n2(a+I) where, a is the first term of the A.P. d is the…

Q: The first term of a GP exceeds the second term by 8 and the sum to infinity is 18. Find the common…

A:

Q: After the fourth month of 12-months loan: The numerator is {(n+)+(n+)+(n+)+(n+)}= The donominator is…

A: Given:  The numerator is {(n+)+(n+)+(n+)+(n+)}= The donominator is {(n)+(n+1)+...+(n)}=

Q: In a market, 585 of the fruits are apples. 11 of the remainder are bananas and the rest are oranges.…

A: In a market, 585 of the fruits are apples. 3/11 of the remainder are bananas and the rest are…

Q: A person is holding two drillbits one is7/16 and the other is 25/64, and wants to first drill a hole…

A: We have to make 7/16 to 64ths    To get 64 from 16 we will multiply 16 by 4.

Q: A ball is dropped from a height of 128 feet. After each bounce it will rebound to a height that is…

A: Solve by multiplying with ( 3/4) fifteen times.

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.