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Old 2009 June 30th, 09:00 AM   #1 (permalink)
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Q) In the arithmetic sequence t1, t2, t3,........, tn,......t1 = 23 and tn = t(n-1) - 3 for each n>1. What is the value of n when tn = -4
Note: 1,2,3....,n-1,n are all subscripts to 't'.
  • -1
  • 7
  • 10
  • 14
  • 20
Just not getting the hang of this question. Would appreciate if the answer is given along with the explanation.

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Old 2009 June 30th, 02:22 PM   #2 (permalink)
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t1 = 23
t2 = t1 - 3 = 23-3 = 20
t3 = t2 - 3 = 20 - 3 = 17
It is an arithmetic series with first term t1 = 23,
common difference d= 20-23 = -3
nth term tn = -4
tn = t1 +(n-1)*d
-4 = 23 - (n-1)*3
n - 1 = 27/3 = 9
n = 10
Hence C.
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Old 2009 June 30th, 02:53 PM   #3 (permalink)
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Quote:
Originally Posted by 12rk34 View Post
t1 = 23
t2 = t1 - 3 = 23-3 = 20
t3 = t2 - 3 = 20 - 3 = 17
It is an arithmetic series with first term t1 = 23,
common difference d= 20-23 = -3
nth term tn = -4
tn = t1 +(n-1)*d
-4 = 23 - (n-1)*3
n - 1 = 27/3 = 9
n = 10
Hence C.
I guess, I got to read the question more clearly.
Thank you. Very well explained!!
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Old 2009 July 1st, 11:54 AM   #4 (permalink)
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yes C
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Old 2009 July 1st, 04:55 PM   #5 (permalink)
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C it is
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Old 2009 July 2nd, 08:29 PM   #6 (permalink)
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Yes C (TT:76 seconds)
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Old 2009 July 3rd, 01:33 PM   #7 (permalink)
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Yes.. C
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Old 2009 July 3rd, 06:38 PM   #8 (permalink)
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Concur with C
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Old 2009 July 3rd, 08:24 PM   #9 (permalink)
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1 2 3 4 5 6 7 8 9 10
23, 20, 17, 14, 11, 8, 5, 2, -1, -4

Imo C
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