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

16,574 results
1. ## 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.

2. ## math

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

3. ## 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.

4. ## Utech

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

5. ## 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

6. ## Math

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

7. ## 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.

8. ## 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.

9. ## 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

10. ## 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

11. ## 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

12. ## Math

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

13. ## 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.

14. ## 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

15. ## 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

16. ## 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.

17. ## arithmetic

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

18. ## math

The third and fifth term of an arithmetic progression are 10 and-10 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

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.

20. ## 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

21. ## 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.

22. ## math

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

23. ## Math.

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

24. ## 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

25. ## 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.

26. ## 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)

27. ## 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

28. ## Math

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

29. ## 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

30. ## 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.

31. ## 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

32. ## 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

33. ## mathematics

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

34. ## 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

35. ## isah

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

36. ## 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

37. ## 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?

38. ## arithmetic

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

39. ## 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??

40. ## 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

41. ## 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.

42. ## 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

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

44. ## 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?

45. ## 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

46. ## 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

47. ## maths

the first term of an arithmetic progression is-4 and 15th term is double the 5th term. find the 12th term.

48. ## AP calculus

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

49. ## 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

50. ## 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

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

52. ## 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

53. ## 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

54. ## 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.

55. ## 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)

56. ## 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.

57. ## 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

58. ## Maths

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

59. ## 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

60. ## 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

61. ## 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

62. ## 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

63. ## 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

64. ## 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.

65. ## 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

66. ## 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

67. ## 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

68. ## 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

69. ## 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?

70. ## 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.

71. ## 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

72. ## 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.

73. ## 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.

74. ## Math,english,further math,government,CRS,lit in english,yoruba,civic,agric,biology

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

75. ## 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.

76. ## maths

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

77. ## 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

78. ## 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

79. ## 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

80. ## 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

81. ## 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.

82. ## 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.

83. ## 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

84. ## 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

85. ## 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

86. ## 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

87. ## 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

88. ## 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

89. ## 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

90. ## 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

91. ## 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?

92. ## 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.

93. ## 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

94. ## 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.

95. ## 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

96. ## 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?

97. ## 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.

98. ## 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.

99. ## 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

100. ## Maths

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