If the sixth term of an arithmetic progression is 37 and the sum of the first sixth terms is 147 find the first term
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math
the ninth term of an arithmetic progression is 52ind the and the sum of the first twelve terms is 414.find the first term and the common difference.

math
If 6 times the sixth term of an arithmetic progression is equal to 9 times the 9th term, find the 15th term.

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.

Utech
The 9th term of an Arithmetic Progression is 8 and the 4th term is 20. Find the first term and the common difference.

Mathematics
If the sixth term of an A.P is 37 and the sum of the first sixth term is 147.find the first term and the sum of the first 15 terms

Math
The 9th term of an arithmetic progression is three times the 5th term, find the relationship between the first term and common difference

AP calculus
The sixth term of an Arithmetic Progression is 23 and the sum of the six terms is 78. Find the first term and the common difference.

arithmetic progression
An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.

Mathematics
The 10th term of an arithmetic progression is _27 and 5th term is _12 ,what is the 18th term ?find also the sum of its 25 term

Mathematics
If the sixth term of an arithmetic progression (A.P) is 37 and the sum of the six term is 147, find the first term, common difference, sum of the first fifteen terms

Maths
A Geometric progression X has a first term of 4a and its sixth term is 256. Another Geometric progression Y has a first term of 3a and its fifth term is 48. Find the: (i) First term of X (ii) Sum of the first four terms of X

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The first term of an arithmetic progression is 7 and the 100th term is 502. Find the sum of the first 50 terms.

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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.

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

Maths
1) In the arithmetic progression, the 8th term is twice the 4th term and the 20th term is 40. Find the common difference and the sum of the terms from the 8th to the 20th term inclusive. 2) Find the least number of terms of the AP, 1+3+5...that are

kite
the sixth term of an arithmetic progression is 21 and the sum of the first 17 terms is 0. write the first three terms.

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

math
The third and fifth term of an arithmetic progression are 10 and10 respectively. a)Determine the first and the common difference t3 = a + 2d = 10 t5 = a + 4d = 10 a 2d = 10 a + 4d = 10 2d = 20 d = 10 a + 2(10) = 10 a 20 = 10 a = 30; d = 2 b)The

Advanced Algebra
The arithmetic progression has first term 4 and last term 34. If the sum of its terms is 247, find the number of terms and their 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

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
if the sixth term of an arithmetic progression is 37 and sum of the first six term is 147

Math.
The 4th term of the arithmetic progression is15 and the9th term is 35 find the 15th term.

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

GP Caluculus
The third term of a geometric progression is 16. The sum of the third term and the fourth term is 8.Find (a)the first term and the common ratio of the progression. (b)the sum of infinity of the progression.

Math
In an arithmetic progression, the 5th term is six times the 1st term and the sum of the first six terms is 99. Find the 1st term and the common difference. Attempt at solution: U5 = 6(U1) 99 = 3(2[U1] + 2d)

algebra
an Arithmetic progression is given by k,2k/3,k/3,o.find the sixth term,the nth term and if the 20th term is 15 find k

Math
An arithmetic progression has 11 as its first term and fourth term is 32.find the sum of the first nine terms.

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The three real,distint and nonzero 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

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.

Mathematics
The 4th term of an arithmetic progression is 6.if the sum of the 8th and 9th terms is 72.what is the common difference

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

mathematics
the third terms of a geometric progression is 360 and the sixth term is 1215. find the sum of the first four terms....

Precalculus
The 8th term in an arithmetic sequence is 5, and the sum of the first 10 terms is 20. Find the common difference and the first term of the sequence. Alright so in an arithmetic squence the difference d between any two successive numbers is constant. So if

isah
the sixth term of arithmetical progression is half of its twelfth term.the first term is equal to

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

Math
The sum of third and seventh term of an ascending arithmetic progression is 12 and their product is 32. Then find the ninth term?

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

Math
The third term of a geometric progression of positive terms is 18 and the fifth term is 162 Find the common ration and the first term? Write an expression for the Nth term of the progression? Find the sum of the first 8 terms of the progression??

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 first term of an arithmetic sequence is 2.The 12th term in the progression is 9 times bigger than the 2nd term. Find the common difference d.

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

addmath A.P.
An arithmetic progression has 8terms.The sum of all 8terms is 180 and the sum of all odd terms is 80. Calculate (a)the first term and common difference (b)the last term

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?

arithmetic
1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four

math
the fourth term of an arithmetic progression is equal to 3 times the first term and the seventh term exceeds twice the third term by 1 find the first term and the common differrence

maths
the first term of an arithmetic progression is4 and 15th term is double the 5th term. find the 12th term.

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

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

math
calculate the first ten term of an Arithmetic progression whose 5th term is 24 and the difference the 7th and 10th term is 15

additional mathematics
if the 2nd term and the 4th term of an arithmetic progression are 15 and 23 respectively, find the first term and the common difference

Mathematics
If the sixth term of an arithmetic progression is 37 and the sum of the first sixth terms is 147 find the first term

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
The sixth term of an arithmetic progression is 265 and the sum of the first 5 terms is 1445. Find the minimum value of n so that the sum of the first n terms is negative.

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)

AP Calculus
The 9th term of an arithmetic progression is 4+5p and the sum of the four terms of the progression is 7p10, where p is a constant. Given that common difference of the progression is 5, find the value of p.

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

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

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

GP Caluculus
The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression

GP Caluculus
The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression

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

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

Math
The fifth term of an arithmetic progression is 19 and the fourteenth term is 15. Find the, first term, common difference, and sum of the first eighty terms.

math
The second term of an arithmetic progression is 8 and the eleventh term is 10 Find the first term, the common differrnce and sum to 15 terms

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

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

Maths
In an arithmetic progression the term is 25,nth term is 17 and the sum of n terms is 132.find n and the common difference

Maths
if the sum of the 6th and 7th term of an Arithmetic progression(AP) is 60 and the 3rd term is 5 find the common difference?

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.

Mathematics
The 25 term of an Arithmetic Progression is 7 1/2 and the sum of the first 23 terms is 98 1/2. Find the i. 1st term ii. common difference iii. sum of the first 30 terms

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
In an arithmetic progression the 5th term is six times the 1st term and the sum of the first six terms is 99. Find the 1st term and the common difference.

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The fourth and sixth term of an arithmetic progession are 4 and 10 respectively. Find A.the common difference B.the first term C.sum of the first twelve terms

math
The second and sixth terms of an arithmetic sequence is 2:5 and their sum is 28. Find the sum of the first 10th term.

maths
the sum of an arithmetic progression is given by 2n1. find the nth term of the sequence

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

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

Math
The sum of the 4th and 6th terms of an AP is 42. The sum of the 3rd and the 9th term of progression is 52, find the first term and the common difference of the sum of the 1st, 10th terms of the progression

math
in an arithmetic progression the 50th term is equal to 3, and the sum of the first 8th is equal to 23. find the first term and the common difference

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.

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.

arithmetic
1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four

math
An arithmetic progression has 2 as its first term. find its common difference if the sum of 33 terms is equal to six times the sum of 13 terms

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
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

math
if 4th term of an arithmetic progression is 3 times the 1st term nd 7th term exceeds twice the third term by 1. find the first term and common difference

src
the 4th term of an arithmetic progression is 27 and the sum of the 1st and 4th term is 42. What is the third term

Mathematics
Deternine the formula of the nth term of the sequence if the sum of the second and sixth terms of an arithmetic sequence is 4.the third term is 24 more than the leventh tern

algebra 2
An arithmetic progression has 5 terms that have a sum of 200. The sum of the last three terms added to 6 times the sum of the first two terms equals zero. What is the first term?

maths
An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference. pl give me the answer.

pchs mankon
A man make 20 deposit into an account which is set to be in an arithmetic progression if the 11 term is twice the 15 term and the first term is 10000frs a) fine the common difference b) the 11 term

Math
An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference.

math
If the sum of the first and the second terms of an infinite Geometric progression is equal to 3/8, and the sum of its term is equal to 1/2. find the common ratio of the first term of the progression

Math
The fifth term of an arithmetic progression is three times the second term,and the third term is 10.a)What is the first term,b)the common difference and c)the 15th term?

Math
the sum of the 4th term and the 5th term is 12.if the 4th term of the progression is 8, find the common ratio and the 1st term of the progression.

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.

Mathematics
The first term of an Arithmetic Progression is 4 and the 15th term is double the 5th. Find the 12th term of the AP

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