# write a rule for nth term: 1/10, 3/20, 5/30, 7/40,.... i think the next term is 9/50 but i don't know how i got that

40,153 results
1. ## MATH

the fist term of a geometric series is 1, the nth term is 128 and the sum of the n term is 225. Find the common ratio and the number of terms?

2. ## maths

What is the nth term rule of the linear sequence below? 27,25,23,21,19

3. ## Calculus 2 - Series

I am so confused on how to do series problems...especially these. How can you tell the pattern and determining the formula for them? Can someone please help? 26) Write the first five terms of the sequence {an} whose nth term is given. an = (n + 3)/(2n −

4. ## Precalc

Find a formula for the nth term if... a)the 8th term is 8 and the 20th term is 44 b) the 8th term is 4 and the 18th term is -96 thanks!! I am just confused how you do this if you don't know what n is.

5. ## maths

If the pth term of an AP is q and the qth term is p, prove that its nth term is (p+q-n).

6. ## maths

the nth term of a sequence is log(n +3) to base 2. what is the difference between the 13th term and the first term?

7. ## math

Find the nth term of the geometric sequence whose initial term is 7 and common ration is 7. (your answer must be a function of n)

8. ## mathematics

find the nth term and the 10th term of a geometric sequence -7,14,-28,56...

9. ## 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.

10. ## Math

Write a rule for the nth term of the geometric sequence. Then find a7. 1. 7, -4.2, 2.52, -1.512, ...

11. ## Dr.tsegay

The 3rd term of arthmetic sequence is 3/4th of 6th term.and their sum is 60.find a,d and nth term.

12. ## mathematics

write a rule for nth term: 1/10, 3/20, 5/30, 7/40,.... i think the next term is 9/50 but i don't know how i got that

13. ## b e t Sofia high school (arethametic)

If the pth term of an ap is q and qth term is p prove that the nth term is equal to (p+q_n)

14. ## 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

15. ## maths

The fith term of an arithmetic sequence is 23 and the 21th term is 72 Determine the first three terms of the sequence and the nth term

16. ## Algebra 2

The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find the first term, the common ratio, and an explicit rule for the nth term.

17. ## Math

The sixth term of an arithmetic sequence is 20.6 and the 9th term is 30.2. Find the 20th term and find the nth term.

18. ## Maths

The 3rd term of an AP 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 15 term of AP.if the 7th term is seven times the first term.

19. ## 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

20. ## 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.

21. ## Math

Write a possible explicit rule for the nth term. 20, 40, 80, 160, 320 a sub n = 20(2)^n-1?

22. ## Calculus

The nth term of a sequence is represented by 2n^4+25n^2+32n−15 ____________________ 6n^4+2n^3−11n^2−2n+17. What is the limit of the the nth term as x becomes increasingly large? A)0 B)1/3 C)3 D)The limit does not exist.

23. ## Algebra

Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term. I’m thinking that the answer is A. A. a1=-8; an=an-1+13. The next term is 70 B. a1=5; an=an-1+13. The next term is 70 C. a1=5; an=an-1-13. The next term is 83 D.

24. ## 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)

25. ## Math

the 8th term of an a.p is 5times than third term while the 7th term is 9 greater than 4th term,write the first five terms of the a.p

26. ## Math

the nth term of a sequence is 3(n+5) which is the first term to be larger than 100?

27. ## 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

28. ## Math

Term # Term Value 1 6 2 11 3 16 4 21 5 26 6 31 7 36 8 41 Write a pattern rule that tells us how the value of each term can be calculated from the term number.

29. ## Sequence

Find the common difference and a formula formula for the nth term of the arithmetic sequence; 6, 2, -2, -6, -10,...a sub n = a)6-4n b)6-2n c)10-2n d)10-4n I think it is c but want to check. Ao is 10, then each term subtracts 4n from it....n=1, ... well if

30. ## math

the first and last term of an AP is a and l.show nth term from begining and nth term from end is a l

31. ## Math Sequence

the nth term of a series is 9n-7. what is the result of subtracting the kth term from the (k+1)th term? (with solution pls, thnx)

32. ## Math

Write a formula for the general term (the nth term) of the arithmetic sequence shown below. Do not use a recursion formula. Then use the formula for a'n to find a20, the 20th term of the sequence. a'1 = -13, d = -5

33. ## Math ( Can You check my Work?)

1.an = 3n - 1 2. an = 2(2n - 3) 3.an = 4^n 4.an = (2/3)^n 5. an = (-1)^n(n + 5) 6. an = (-1)^n + 1(n + 6) 7. an= n+3/2n-1 8. a1 = -5 and an = an-1 - 3 for n ≥ 2 9. a1 = -6 and an = -2an-1 for n ≥ 2 10.a1 = 4 and an = 3an-1 + 2 for n ≥ 2 11. Find a8

34. ## Algebra 2

Which one is a rule for the nth term of an arithmetic sequence with a8 = 56 and d = 5?

35. ## maths

in GP the product of the Second term and fifth term is double the firth term. find the first term if the sum is first terms is 80 show that r^3+r^2+r+1=40 b. hence find the value of r c.show that the value of the sum of the nth term is 3^n-1

36. ## math

hi if the second term of a sequence is root(2) and the seventh term is 8 what is the nth term equation(Geometric sequence) thanks

37. ## Precalc

Find the indicated nth term of the geometric sequence. 7th term a5: -2/81 a9: -2/6561 I know the formula is an= a1 r ^ n-1 but I can't figure out how to apply it

38. ## arithmetic

Write the nth term of the following sequence in terms of the first term of the sequence. 10, 20, 40, . . .

39. ## algebra2/trig

Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is n 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank you

40. ## algebra 2/trig

Write the next term of sequence,and then write the rule for the nth term. 1)1,8,27,64,....125 the nth is 2) 3,8,15, 24,.....35 the nth is Can you help me and correct ? thank

41. ## Math

For the sequence, describe the pattern, write the next term, and write a rule for the nth term. 2/3,4/4,6/5,8/6,...

42. ## math

find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17/6, 3/2, 1/6..... If you change the denomators to 6, you should notice the numerators follow the sequence: 33,25,17,9,1,...which is an arithmetic sequence with a common difference of

43. ## Math

Write a possible explicit rule for the nth term. 1/2, 1/4, 1/6, 1/8, 1/10

44. ## Math

Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term. 1 2 3 4 5 6 7 8 n 18 30 42 54 66 78 I can recognize the pattern as being + 12 so under 7 my answer would be 90 and under 8 my answer would be

45. ## Calculus

Write a formuls for the general term(nth term) of the arithmetic sequence. Do not use a recursion formula. Then use the formula for A to the n to find the indicated term of the sequence find a11: 12, 10, 8,...

46. ## Math

For the sequence 0,3,8,15,24; Write the general term (an equation) for the nth term of this sequence I got tn=n^2-1. Is this correct??

47. ## MATHEMATICS

THE FIFTH TERM OF AN ARITHMETIC SEQUENCE IS 23 AND THE 12TH TERM IS 72.AND THEY SAY DETERMINE THE FIRST THREE TERMS OF THE SEQUENCE AND NTH TERM

48. ## Maths

The first 5 terms of an arithmetic sequence are: 7 13 19 25 31 Prove that the difference between the squares of any two terms of the sequence is always a multiple of 24 Nth term = ? Nth term squared = ? Mth term = ? Mth term squared = ? Difference = ? ? =

49. ## Math

I'm a seventh grade student, I'm having a hard time trying to understand how to do nth term, where n represents the position of the term?

50. ## Geometric Progression

The first five terms of a sequence are 9,16,25,36,49,.....find A) the 8th term. B) the nth term?

51. ## Math - Geometry

Please help! Need to find the 6th and nth terms in this sequence - and solve for the rule or process. here's the sequence: 1,3,9,27,81 What is the process or formula to get the nth term in the sequence. Thanks!

The first term in an arithmetic sequence is -1. The fourth term in the sequence is -4. The tenth term in the sequence is -10. Which function can be used to find the nth term of the arithmetic sequence?

53. ## arithmetic

the 20th term of a sequence with nth term 3+4(n-1) is what?

54. ## arithmetic

nth term expressions whose 8th term is 74

55. ## Alg2

Hi! I'd like to know how to write the next term in the sentence & write a rule for the nth term. 1) 2/3, 3/6, 4/9, 5/12... I know the next term is 6/15 but I don't know how to write the rule for the nth term... 2) 1/3, 1, 5/3, 7/3,... I don't get this one

56. ## Math

Write a possible explicit rule for the nth term of the sequence, then use it to find the 20th term. 5, -10, 20, -40, 80, -160.... Ans: a(n) = 5(-2)^n - 1 20th term: -2621440

57. ## 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.

58. ## Math

The nth term of an A.P. Is 3 times the 5th term.(a)find the relationship between a and d.(b)prove that the 8th term is 5times the 4th term.

59. ## Math

Write a rule for the nth term of the arithmetic sequence. -12, -5, 2, 9

60. ## Math

1.) What is the formula for the nth term of the arithmetic sequence that has a common difference of 8 and a first term of 4? 2.) What is the formula for the nth term of the geometric sequence that has a first term of 2 and a ratio of 3?

61. ## arithmetic

Write a rule for the nth term of the arithmatic sequence. Then find a10. 1. -4,2,8,14,20 2. -25,-29,-30,-37,-41

62. ## Maths

The ratio between the first term and the second term in an arithmetic sequence is 3/4. The ratio between the second term and the third term is 4/5. a. Calculate the ratio of the third term to the fourth term. (Answer is 5/6) b. Find the ratio of the nth

63. ## Maths

What is the nth term when the Sequence is 0 first term 0 second term 420 sixty-ninth term

64. ## Math

The third term of an A.P is 20, the fourteenth term is 64. Find the first term, the common difference and the nth term

65. ## Math

Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term. 1 2 3 4 5 6 7 8 n 18 30 42 54 66 78 I can recognize the pattern as being + 12 so under 7 my answer would be 90 and under 8 my answer would be

66. ## Calculus

Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? My question was: The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The

67. ## Algebra 2

Write a rule for the nth term of the arithmetic sequence. ( I'm not sure how I'm suppose to write the numbers below a :C so bare with me ) a(2) = - 28, a(20) = 52 I used the formula a(n) = a(1) + ( n-1)d a(20) = a(1) + (20-1)d > 52 = a(1)+19d a(2) = a(1) +

68. ## 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??

69. ## Math

For the arithmetic sequence with given first term 4 and common difference 4: its nth term is __________ its 10-th term is ________

70. ## Maths

Hi, I am working on some Nth problems - can anyone tell me if this is correct :- Nth term sequence is n + 4 are the first three terms 5,6,7, A nth term is 85 - 5n are the first three terms of the sequence 17, 34, 51, A nth term is 2n - 0.5 are the first

71. ## math 213 #18

A student claims that every prime greater than 3 is a term in the arithmetic sequence whose nth term is 6n + 1 or in the arithmetic sequence whose nth term is 6n – 1. Is this true? If so why?

72. ## math

A student claims that every prime greater than 3 is a term in the arithmetic sequence whose nth term is 6n + 1 or in the arithmetic sequence whose nth term is 6n - 1. Is this true? if so, why?

73. ## Math

The following are the first four terms of a sequence: a, a (1/b),a(1/b(1/b),a(1/b)(1/b)(1/b) where a is a positive integer. Is the eight term positive or negative? explain So the sequence could be seen as {a/b^(n-1): n=1,2,3...} I hope you can see that the

74. ## 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

75. ## math

help me with sequences problem.So if the sequence is 2,5,10,17,26 +3 +5 +7 +9 1st difference +2 +2 +2 2nd difference then the nth term can be worked out by writing out : n 1 2 3 4 n squared 1 4 9 16 original sequence 2 5 10 17 nth term= n squared+1 but

76. ## algebra

here are term and term numbers 1 2 3 4 ________ 1 3 6 10 what is the expression for the nth term

77. ## maths

In an AP the first term is 2 and the nth term is 29 and the sum of the n term is 155 find n

78. ## math

The 8th term of ap is 5time the 3rd term, while the 7th term is greater than the 4th term, write the first 5 term of the ap

79. ## math

hello, im in 3rd grade and i need help on these 2 questions. 1) What is 3 as a percentage of 10? 2) The nth term rule for a sequence is 2n+3. Write the first 4 terms in this sequence. is question 1 30% thanks if you reply

80. ## math

The third and seventh terms of an arithmetic sequence are 10 and 20. 1) What is the value of the 1st term? 2) What is the value of the 9th term? 3) What is the equation to find the nth term in the sequence? HELP!! PLEASE!!

81. ## math

How do I figure out what the nth term is in a sequence? Exmaple: 1, 3, 5,7, What would be the 100th term? IF adding 2 to each would the formula be n+2? How to calculate 100th term?

82. ## Maths

The 7th term of an a.p is 11 and the nth term is 3. Find the first five term

83. ## Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is 13. What is the first

84. ## math

Write a rule for thenth term for the following sequence: 2/3, 4/4, 6/5, 8/6, ... I know the next term is 10/7 but I don't know how I got it

85. ## calc.

find the sum of the series of (-2)^n/3^n+1. This is an alternating series... what if we rewrite it as an= (1/3)* (-2/3)^(n) Divide any nth term by the n-1 term and see if you get a ratio term r. This might be a geometric series.

86. ## math

The third term of a geometric progressiom is nine times the first term.if the second term is one-twenty fourth the fifth term.find the fourth term.ar^2=9a. r=sqr of 9 r=3.pls teach me how to get the first term and i can get the 4th term myself

87. ## airthmetic progression

If m, n are natural numbers, m > n, sum of mth and nth term of an increasing AP is 2m and their product is m^2–- n^2, then what is the (m+n)th term of the A.P.?

88. ## airthmetic progression

If m, n are natural numbers, m > n, sum of mth and nth term of an increasing AP is 2m and their product is m^2–- n^2, then what is the (m+n)th term of the A.P.?

89. ## Maths

The nth term and the sum of n terms of a geometric sequence are 5 and 55 respectively. If the commom ratio is -(1/2)n find the first term and value of n

90. ## Maths: Sequences need help

The nth term of a sequences of v1,v2,v3 is given by Vn=6 2^n (1):show that for all value of n>1 Vn1=2(Vn-3)?? (2): obtain and simplify the sum of the first n term of the sequence??

91. ## PreCal

Write a formula for the general term(the nth term)of the arithmetic sequence. Do not use a recursion formula. Then use the formula for a(n) to find the indicated term of the sequence Find a(11); 12, 10, 8, ... I came up with -10 ?

92. ## 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

93. ## math

Find the nth term of the geometric sequence whose initial term is 7 and common ration is 7.(Your answer must be a function of n.)

94. ## math

Find the next term and the nth term of the sequence: 2+4, 8+4, 18+4, 32+4, 50+4,... a) 72 + 4 and 2n2+4 b) 68 + 4 and 68n2 + 72 c) 86 + 4 and 90 + n2

95. ## Math

Name School Team Event 3: Logic and Reasoning (with calculators) 5th/6th grade Math Meet ‘08 For each number pattern, fill in the next five terms. (2 pts. each blank) ANSWER KEY 1st term 2nd term 3rd term 4th term 5th term 6th term 7th term 8th term 9th

96. ## Sj

Mathematics......Under number patterns-Geometric series If a question goes.determine the expression for the nth term of the following sequence if the a) 4th term is 24 and the 7th term is 192 in a geometric sequence.what formula do i use here?because i

97. ## Geometric progresson

If a be the first term, b the nth term and p the product of n terms of G.P.,show that p2=(ab)n.

98. ## Geometry

n:1,2,3,4,5,6 f(n):0,1,3,6,10,15 find the nth term and the 20th term in the sequence

99. ## 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

100. ## 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