# maths-Arithmetic progression

12,288 results

math
The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression

Math (Geometric Progression)
5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note: The phrase "form an arithmetic progression" ...

Math
A sequence is called an arithmetic progression of the rst order if the di erences of the successive terms are constant. It is called an arith- metic progression of the second order if the di erences of the successive terms form an arithmetic progression of the rst order. In ...

Math
5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression? Note: The phase "form an arithmetic progression" ...

arithmetic
Two arithmetic progression have thd same first and last terms.the first arithmetic progression has 21 terms with a common difference of 9.How many terms has the other arithmetic progression if its common difference is 4?working and answer.thans

algebra
if 1, 2, 7 and 20, respectively, are added to the first terms of an arithmetic progression, a geometric progression of four terms is obtained. find the first term and common difference of the arithmetic progression the answers are both 3 .. but i don't know the solution, ...

Maths
1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is 4/3 less than the sum of the first 3 terms of...

Maths
The numbers p,10 and q are 3 consecutive terms of an arithmetic progression .the numbers p,6 and q are 3 consecutive terms of a geometric progression .by first forming two equations in p and q show that p^2-20p+36=0 Hence find the values of p and q for which the geometric ...

AP Calculus
The 9th term of an arithmetic progression is 4+5p and the sum of the four terms of the progression is 7p-10, where p is a constant. Given that common difference of the progression is 5, find the value of p.

math
An arithmetic progression as the same first and second terms as the geometric progression. Find the sum of the first 20 terms of the arithmetic progression. How do I do this? I tried to find the common ratio for G.P. and then substitute it to find the 20th term but, still have...

math
The first and the last terms of an Arithmetic Progression are 6 and 171 in that order. If there are 14 terms, find the 16th term of the Arithmetic Progression.

Math
The third, fifth and seventeenth terms of an arithmetic progression are in geometric progression. Find the common ratio of the geometric progression.

maths
1) The first term of arithmetic progression is -20 and the sum of it's term is 250. find it's last term if the number of it's terms is 10 2) Find the fifth term from the arithmetic progression -12, -9, -6 hence find the sum of it's first fifty terms. 3) The sum of the first ...

arithmetic progression
four positive integers form an arithmetic progression . if the product of the first and the last terms is 70 and the second and third terms are 88, find the first term

math!!
Three numbers are in an arithmetic progression; three other numbers are in a ge- ometric progression. Adding the corresponding terms of these two progressions yields 32, 26, and 32. The sum of the three terms of the arithmetic progression is 51. Find the terms of both ...

math C2 sequences and series
The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and common ratio r. a)Given that d is not equal ...

maths-Arithmetic progression
Prove that mean of squares of first n natural numbers is (n+1)(2n+1)/6

maths
the sum of an arithmetic progression is given by 2n-1. find the nth term of the sequence

Maths
An arithmetic progression start 3+2a, 3+4a,3+6a if the fifth term is 73 work out value a?

Arithmetic
The first, second and third terms of a geometric progression are 2k+3, k+6 and k, respectively. Given that all the terms of geometric progression are positive, calculate (a) the value of the constant k (b) the sum to infinity of the progression.

maths
how arithmetic and geometric progression can be used to solve problems related to banking business?

Maths
If the angles of triangle ABC are in increasing order and in an arithmetic progression then find sinB

AP calculus
The consecutive terms of an arithmetic progression are 5-x, 8, 2x. Find the common difference of the progression.

AP calculus
Given an arithmetic progression -7,-3,1,..., state three consecutive terms in this progression which sum up to 75.

economics
please i wish to know the relationship between arithmetic progression and geometric progression as related to business studies

math
The 3rd term of an Arithmetic Progression is 10 more than the first term while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic Progression if the 7th term is seven times the first term.

arithmetic
What is the sum to 15 terms of an arithmetic progression whose 8th term is 4?

arithmetic
What is the use of arithmetic progression in a circular race track? Please answer soon !

Math - Arithmetic
Qn: Given that 3, b, c and 18 are an Arithmetic Progression. Find the value of b and c.

Maths
Find 8 terms of the arithmetic progression if the second term is 2 and the sixth term is 5

MATHEMATIC DEPARTMENT
The second, third and ninth terms of an arithmetic progression forms the first, second and third terms of a geometric progression. Find the common ratio and hence the eleventh term of geometric progression.

Maths
The second term of arithmetic progression is 15 and the fifth term is 21 find the common difference with solutions

Maths
b.Find the seventeenth term of an Arithmetic Progression, whose 9th and 15th term are 19 and 37 respectively.

algebra
three numbers are in harmonic progression. If the third number were decreased by 4 they would be in arithmetic progression. If the third number were decreased by 3 they would be in geometric progression. Find the third term of the harmonic progression.

arithmetic
find the seventh term of an arithmetic progression 5,7,11,15

maths
the first term of arithmetic progression is -8 .and the ratio of the 7th and the 9th term is 5 :8 .find the common difference.

maths
What is the smallest positive common difference of a 6-term arithmetic progression consisting entirely of (positive) prime numbers?

math
The third,sixth and seventh terms of a geometric progression(whose common ratio is neither 0 nor 1) are in arithmetic progression. Prove dat d sum of d first three is equal to d fourth term

Math
Three numbers form a geometric progression. If 4 is subtracted from the third term, then the three numbers will form an arithmetic progression. If, after this, 1 is subtracted from the second and third terms of the progression, then it will again result in a geometric ...

maths
find the 20th term of an arithmetic progression whose 6th term is 3 and 14th term is 19

maths
find the 20th term of an arithmetic progression whose 6th term is 3 and 14th term is 19

Maths
If 9th term of an arithmetic progression is 0, prove that its 29th term is double the 19th term.

c\$s college
the first term of an arithmetic progression is 3 and the fifth term is is 9.find the number of terms in the progression if the last term is 81

math
The sum of the 3 terms in arithmetic sequence is 39.if these numbers is increased by 1,5 and 12 respectively the numbers would be in geometric progression. find the second term of the geometric progression?

algebra
The sum of the three numbers in Arithmetic Progression is 33. If the numbers are increased by 2, 1, and 6 respectively the new numbers will be in Geometric progression. Find these numbers.

Math
How do we find the sum of n terms of the following? Tr= 5^r/[(r+1)(r+2)] I can see there's an arithmetic progression and a geometric progression? How do we combine them both to find n terms.

arithmetic
In an arithmetic progression the sum of the first 10 terms is 50 and the 5th is three times the second term. Find the fisrt term and the common difference.

maths
The sum of first 6 terms of an Arithmetic progression is 6 the product of 2nd term and 5th term is -80 . Find the terms of A.P.

maths
The sum of first 6 terms of an Arithmetic progression is 6 the product of 2nd term and 5th term is -80 . Find the terms of A.P.

plz sequence sir steve reiny bob damon i need u
The three real,distint and non-zero numbers a,b,c are such that a,b,c are in arithmetic progression and a,c,b are in geometric progression. Find the numerical value of the common ratio of the geometric progression.. Hence,find an expression in terms of a for the sum to ...

Math, Series
Given that 1/(y-x), 1/2y, and 1/y-z are consecutive terms of an arithmetic progression, prove that x,y, and z are consecutive terms of a geometric progression.

arithmetic
Find the sum of the 25th term to 50th term of the arithmetic progression 28,23,18, ...

Maths
The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

Maths
The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

Maths
The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

MATHs
The three terms x+12, 3x+5 and 2x+25 are the first three terms of an arithmetic progression. What is the value of x?

math
Three numbers form a geometric progression. If the second term is increased by 2, then the progression will become arithmetic and if, after this, the last term is increased by 9, then the progression will again become geometric. Find these three numbers.

Series
Given that 1/(y-x), 1/2y, and 1/y-z are consecutive terms of an arithmetic progression, prove that x,y, and z are consecutive terms of a geometric progression.

math
There are two positive numbers that can be inserted between 3 and 9 such that the first three are in geometric progression while the last three are in arithmetic progression. Find the sum of those two numbers.

arithmetic
Each term of a progression is determined by adding 0.5 to the preceding term. the sum of the first 25 terms of the progression equals the square of the 25th term. calculate the possible value(s) of the first term

Maths - Arithmetic Progression
The fourth term of an AP is 8 and the sum of the first ten terms is 40. Find the first term and the tenth term.

A.P AND G.P AND A.M AND G.M
Find the arithmetic progression and sum of its first 20 terms whose arithmetic mean and geometric mean between first and third term is 10 and 8 respectively

arithmetic
an arithmetic progression has 20 terms. the sum of all the even terms is 350. given that the first term is 5, find the common difference and the eleventh term.

progressions
Find the arithmetic progression and sum of its first 20 terms whose arithmetic mean and geometric mean between first and third term is 10 and 8 respectively

arithmetic
the first and second terms of an arithmetic progression are 161 and 154 respectively.the sumthe first m terms is zero.find the value of m

maths
If the third and sixth terms of a geometric progression are 12 and 96, then find the number of terms in the progression, which are less than 2000.

Arithmetic progression
In an AP , Sn = 2n , S2n = n Find S4n

math
I would need help with example: The sum of three consecutive terms of geometric progression is 9. The first number with no change, the second number plus 12 and the third number minus 3, are the 3 consequtive terms of arithmetic progression. What are the values of original 3 ...

arithmetic
in an arithmetic progression the 13th term is 27 and the 7th term is three times the second term find;the common difference,the first term and the sum of the first ten terms

arithmetic
the 20th sum of an arithmetic progression is -7 and the sum of the first 20 terms is 620. find the 1st and 30th terms i am looking at using S20 = a(1-rn)/l-r = 620. but i am reallys tuck and think i am very wrong. please help.

Maths - Geometric Progression
Find the value of x for which the numbers x+1, x+3, x+7, are in geometric progression.

maths
the sum of first 8 terms of an arithmetic progression is 156.the ratio of its 12th term to its 68th term is 1:5.calculate the first term and the fifteenth term. please help this questions please.

precal Arithmetic progression
The fifth term of an arithmetic series is 12 and the eighth term is 3. Find the sum of the first 6 terms and also of the first 11 terms. T5=a+4d=12 T8=a+7d=3 -3d=9 d=-3

math
Find the sum of the arithmetic progression 4 + 9 + 14 + 19 + …….94 + 99 + 104

math
Find the 7th term of arithmetic progression...12,20,28.

Algebra
find the 12th term of the arithmetic progression 1/2, 1/6, 1/10

Trigonometry
The first three terms of an arithmetic progression are 1/2, x, 25. The first three terms of a geometric progression are x+1/4, 32 1/2, and y, where x and y are positive numbers. Find the value of X and the value of Y.

Series
One sequence of alternating terms of the series 1+2+3+4+5+8+... forms an arithmetic progression, while the other sequence of alternating terms forms a geometric progression. Sum the first 10 terms of each progression and hence find the sum of the first 20 terms of the series.

MATH
What value of p are 2p-1,7 and 3P three consecutive terms of ARITHMETIC PROGRESSION

math
if x,y,z represents consecutive terms in an Arithmetic progression, prove that y is = (x+z)/2

duet
if a.b.c.d are four consecutive terms of an arithmetic progression then show that a^2 -d^2=3(b^2 - c^2)

arithmetic progression
If sum of first 21 terms of an arithmetic progression is 13 and that of first 13 terms is 21, show that sum of first 34 terms is -34 ?

Arithmetic Progressions
The second term of an arithmetic progression I four times the fits term, and the first term is ten. Find the common difference and hence find the sum of the first 12 terms.

math
I would need help with example: The three numbers are consecutive terms of arithmetic progression and the sum of their second powers is 126. The first number 3 times smaller, the second number with no change and the third number 4 times greater, are the 3 consequtive terms of ...

math
Insert 3 numbers between15 to 17 such that the terms from an Arithmetic progression

Calculus
An arithmetic progression has terms a8 =23 and a20 =83 . What is the value of the term a12

Math
The first three terms of an arithmetic progression are t, 2t-1, 2t+4. Calculate the value of t.

Algebra/Number Theory
In a sequence of four positive numbers, the first three are in geometric progression and the last three are in arithmetic progression. The first number is 12 and the last number is 452. The sum of the two middle numbers can be written as ab where a and b are coprime positive ...

Math
The 3rd and 12th terms of an arithmetic progression are 12 and -24 respectively. What is the 50th term?

Arithmetic progression
Find the sum of the numbers lying between 1 and 100 which are divisible by 2 or 5.

Arithmetic progression
Which term will be 27 of the sequence 5,7,9,11,....: Sir this question answer 10 how it possible i am confused

maths-Arithmetic progression
A ladder has rungs 25 cm apart.The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top.If the top and the botom rungs are two nd a half metre apart, what is the length of the wood required for the rungs

math
Help please find three consecutive numbers, which are in arithmetic progression whose sum is 39

Arithmetic progression
Divinde 24 into four parts which are in A.P. such that the sum of their squares is 164.

math
Add the odd numbers divisible by 3 lying between 200 and 400.is arithmetic or geometric progression.

mathematics
if the sum of the 6th and 7th terms of an arithmetic progression is 60 and the 3rd term is -5 find the common difference

maths
A) In an arithmetic progression the sum of the first ten terms is 50 and the fifth term is three times the second term (1) Calculate the first term (2)Calculate the sum of the 20 terms

Harmonic progression
Show that if three quantities be in any two of the three progression, a.p., g.p. And h.p., they will be also in the third progression.

math
help please The measures of the sides of a right triangle form an arithmetic progression whose difference is 1. Find the measure of the hypotenuse

maths
if the arithmetic mean of four numbers is 20 and the arithmetic mean of other six numbers is 10 then,find the arithmetic mean of all the numbers taken as one group

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