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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
20 Aug 2012, 02:23
1
This post received KUDOS
Expert's post
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SOLUTION
If the sequence S has 300 terms, what is the 293rd term of S?
(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.
(2) The first term of S is -22. Clearly insufficient.
Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
23 Aug 2012, 20:32
Statement 1 :
we know : Tn=a+(n-1)d where Tn=value of the nth term a=first term n= nth term d=difference of the each term...
From the first statement we have all the values of the above equation we can find out a. We do not need to calculate. After finding a we know we can find the value of 298th term.
so A is sufficeint....
2) Only the first term is given. we have two unknown values d and n .. so the statement is insufficient
Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
23 Aug 2012, 23:09
Easy one ... Answer is A. _________________
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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
24 Aug 2012, 06:11
Expert's post
SOLUTION
If the sequence S has 300 terms, what is the 293rd term of S?
(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.
(2) The first term of S is -22. Clearly insufficient.
Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
02 May 2013, 19:34
1) if the 298 term of S is -616, and each thereafter is 2 less than the preceding term, you know that term 297, or 298 can also be solved, that's sufficient enough to find the 293rd term.
2) the stem is tricky because the question wants you to carry over and second guess yourself, or make you choose C, so be careful, for statement 2: you still need a base to start, such as statement 1), 298 term of s is -616, and 2) you're lacking the difference per term, such as statement 1), the difference is -2 per term. So lacking these two makes this statement NOT SUFF.
Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
12 Sep 2014, 13:19
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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
05 Oct 2014, 10:14
Bunuel wrote:
SOLUTION
If the sequence S has 300 terms, what is the 293rd term of S?
(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.
(2) The first term of S is -22. Clearly insufficient.
Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
05 Oct 2014, 10:23
Expert's post
havoc7860 wrote:
Bunuel wrote:
SOLUTION
If the sequence S has 300 terms, what is the 293rd term of S?
(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.
(2) The first term of S is -22. Clearly insufficient.
Answer: A.
I think S(293) will be -608 and not -606
Heres my calculation
S(n)=a-2(n-1)
s(298)=a-2(297)
--> -616=a-594 --> a=-22
S(293) = -22 - 2(293) = -22-586 = -608
Have you tried easiest way? The 298th term of S is -616 The 297th term of S is -614 The 296th term of S is -612 The 295th term of S is -610 The 294th term of S is -608 The 293rd term of S is -606 _________________
Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]
05 Oct 2014, 10:53
Bunuel wrote:
havoc7860 wrote:
Bunuel wrote:
SOLUTION
If the sequence S has 300 terms, what is the 293rd term of S?
(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.
(2) The first term of S is -22. Clearly insufficient.
Answer: A.
I think S(293) will be -608 and not -606
Heres my calculation
S(n)=a-2(n-1)
s(298)=a-2(297)
--> -616=a-594 --> a=-22
S(293) = -22 - 2(293) = -22-586 = -608
Have you tried easiest way? The 298th term of S is -616 The 297th term of S is -614 The 296th term of S is -612 The 295th term of S is -610 The 294th term of S is -608 The 293rd term of S is -606
Your right, i was just trying to figure out another way to solve the problem just in case someone might benefit by looking at it in another way.
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