# 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

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1. ## sequences and Series

If 5 times the 5th term is equal to the 6 times the 6th term of an arithmetic sequence then its 11th term is.......

2. ## Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.

3. ## 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.

4. ## math

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

5. ## mathematics

A goemetric progression is such that the 3rd term is 9times the first term ,while the 2nd term is one-twenty fourth of the 5th term.Find the 4th term

6. ## 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)

7. ## Math

a geometric progression has a third term of 20 and a sum to infinity which is three times the first term. find the first term

8. ## Mathematics

The 3rd and 8th term of an arithmetic progression A.P are -9 and 26.what their common difference nd first term?

9. ## 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.

10. ## 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

11. ## Utech

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

12. ## 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.

13. ## 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

14. ## 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

15. ## math

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

16. ## Math

The fourth term of an arithmetic sequence is less than the fifth term by 3. The seventh term is three times the fifth term. Find the common difference and the first term

17. ## math

The 3rd term of a geometric progression is nine times the first term.if the second term is one-twenty fourth the 5th term.find the 4th term. solution ar^2=9a r=sqr of 9 r=3.pls help me on how to get the first term(a)

18. ## Math.

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

19. ## 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.

20. ## Math

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

21. ## 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

22. ## 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

23. ## 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.

24. ## Maths

A geometric progression has a third term of 20 band sum to infinity which is three times the first term. find the first term.

25. ## 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?

26. ## 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

27. ## 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

28. ## Math

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

29. ## math

Find the c.d if the 28th term of an arithmetic progression is -5 and the first term is 31

30. ## 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

31. ## 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

33. ## Math

The first term and last term of an arithmetic progression are -4 and 145 respectively. If the common difference is 4. (a) find the 12th term (b) find the 25th term.

34. ## 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.

35. ## Maths

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

36. ## Math,science

The 5th term of an arithmetic progression is 23 and the 12th term is 37.find the third term and common different

37. ## maths

The 4th term of an arithmetic progression AP is 37 and the 6th term is 12 more than the 4th term find. (i)the first term of AP. (ii) the seventh term of AP.

38. ## arithmetic

Determining the first three terms of an ArithmetiC progressionof which the (a.)10th term is 31 and the 15th term is 49 (b.)7th term is 3 and 12th term is -3 (c.)5th term is 8 and the 11th term is -28 (d.)9th term is7+9x and d=2x,Show all calculations

39. ## 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

40. ## math

Find the arithmetic sequence whose fifth term = 21, and the tenth term = 3 times the second term

41. ## 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?

42. ## maths

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

43. ## 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.

44. ## arithmetic

first term and larst term of a geometric progression is 42.if the forth term is greater than the second term by 168, find the first term.the forth term.

45. ## 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

46. ## 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.

47. ## mathematics

A geometric progression is such that the 3rd term is nine times the 1st term while the 2nd term one twenty fourth of the 5th term.find its 4th term

48. ## math

the fifth term of an arithmetic progression is 19,and the fourteenth term is 55. Find its first term

49. ## Math

If the 16th term of an arithmetic sequence is three times the fourth term, find the ratio of the 23rd term to the third term.

50. ## arithmetic

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

51. ## Maths

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

52. ## arthmetic

in an arthmetic progression or series,the 13th term is 27 and the 7th iterm is 3 times the 2nd term ,find first term the common difference the sum of rhe squence

53. ## 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.

54. ## 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.

55. ## 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

56. ## maths

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

57. ## 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

58. ## 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

59. ## maths

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

60. ## Math Algebra

The first term of a geometric progression is more than the third term by 12. The fourth term is more than the second term by 4. Find: i.the first term a and the common ratio r. ii. the n'th term of the progression.

61. ## 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??

62. ## maths

in an arithmetic progression the fifth term is 34 and the fifteenth term is 9.Which term in this progression is -6

63. ## 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.

64. ## math

The sum of the first 10 term of an arithmetic sequence is 145 and the sum of the fourth and ninth term is five times the third term. Determine the first term and constant difference.

65. ## 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

66. ## math

An arithmetic series has third term 11. The ninth term is 5 times the second term. Find the common difference.

67. ## 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

68. ## 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

69. ## 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

70. ## 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

71. ## 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

72. ## 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.

73. ## 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.

74. ## 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

75. ## Maths

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

76. ## 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)

77. ## Math

The first term and last term of an arithmetic progression are -3 and 145 respectively .if the common difference is 4.(a) find the 12th term (b) find the 25th term.

78. ## Math

the thirteenth term of an arythmeticprogression is 27. given that the seventh term equals to three times the second term, find: the first term nd the common difference of the progression

79. ## math

The second term of an arithmetic progression is 50 and the 5th term is 65.calculate the value of the 40th term

80. ## math

the 3rd term of a geometric progression is nine times the 1st term.if the 2nd term is one-twenty fourth the 5th term.find the 4th term.(my solution so far).ar^2=9a r=sqr of 9 r=3.help me find the 1st term

81. ## 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

82. ## 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

83. ## math

The 3rd term of a geometric progression is nine times the 1st term.if the 2nd term is one twenty fourth the 5th term.find the 4th term.(there is a mistake in the 2nd to the last statement.help locate the mistake{final answer 4th term =48).i solved to this

84. ## Math

The 6th term of an arithmetic sequence is 3 times the 2nd term. Prove that the 10th term is twice the 5th term. tn=t1+(n-1)d

85. ## E.s groly

5 times the 5th term of arthmetic progression is equa to 10 times the 10th term. Find the common difference and the first term

86. ## 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

87. ## 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

88. ## 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.

89. ## intro cal

the first 3 term of a geometric progression are k-4, 2k-4, 4k+4. what is the value of k? can someone help please! in any geometric progression any term divided by its previous term gives you the common ratio, so .... (2k-4)/(k-4) = (4k+4)/(2k-4)

90. ## Math

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

91. ## math

The 5th term of an Arithmetic Progression is 8 and the 12th term is 50. Determine the sequence

92. ## 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?

93. ## 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

94. ## Maths

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

95. ## math

The 10th term of an arithmetic progress in 28 and the 7th term is 19.calculate the 1st,2nd and 3rd terms of the progression

96. ## 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

97. ## Algebra

True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is computed by subtracting the

98. ## maths

The fifth term of an arithmetic sequence is 23 and the 12th term is 72. And they say first question 1.determine the first three terms of the sequences and the nth term. 2.what is the value of the 10th term. 3. Which term has a value of 268.

99. ## Math

3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the third term is (-1)x5. What

100. ## maths

The fifth term of an arithmetic sequence is 23 and 12th term is 72. And they say 1. Determine the first three terms of the sequences and the nth term. 2. What is the value of the 10th term. 3. Which term has a value of 268.