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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]

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23 Aug 2012, 21:32

1

This post was BOOKMARKED

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]

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24 Aug 2012, 00:09

Easy one ... Answer is A.
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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]

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02 May 2013, 20:34

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]

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12 Sep 2014, 14:19

Hello from the GMAT Club BumpBot!

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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

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05 Oct 2014, 11:14

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.

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
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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

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05 Oct 2014, 11:53

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.

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

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21 Feb 2016, 01:01

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

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09 Mar 2016, 04:46

here statement tells us it is a Ap series with one term given and D given so its sufficient Statement 2 is not correct for obvious reasons as its no AP
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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. (2) The first term of S is -22.

We are given that sequence S has 300 terms, and we need to determine the 293rd term of S.

Statement One Alone:

The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.

Statement one defines the pattern of the sequence. We are given that each term of S after the first is 2 less than the preceding term. Thus, we know that we can determine the value of the 293rd term.

If we were forced to determine the 293rd term we could determine that value. We know that the 293rd term is 5 terms before the 298th term. Thus, the 298th term is 5(2) = 10 less than the 293rd term, or in other words, the 293rd term is 10 more than -616, the 298th term. So the 293rd term is -606.

Remember, because we are answering a data sufficiency question, we can stop as soon as we know we are able to determine the value of the 293rd term, and so we don't need to perform the math to calculate its actual value.

Statement one is sufficient. We can eliminate answer choices B, C, and E.

Statement Two Alone:

The first term of S is -22.

Since we do not have any information about the pattern defining the sequence, statement two is not sufficient to answer the question.

The answer is A.
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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

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23 Sep 2016, 22:03

Is it true that to find a specified value within in a set we need primarily two things: (1) a reference term (S_298 = -616) and (2) a general formula that specifies the number associated with the a specified element of the set?

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

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23 Feb 2017, 05:48

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. (2) The first term of S is -22.

Prompt analysis There is an arithmetic progression of 300 terms.

Superset The answer will be real number.

Translation We know that tn = a +(n-1)d. In order to know that t293, we need the value of a and d.

Statement analysis

St 1: t298 =-616 and d = -2. Therefore t298 =a +297d = a +292d +5d = t293 +5d Therefore -616 =t293 -10. t293 =-606. ANSWER. Hence option b,c,e eliminated. St 2: a =-22. Since we have no idea about any other information, it is INSUFFICIENT.

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. (2) The first term of S is -22.

Practice Questions Question: 24 Page: 276 Difficulty: 550

Target question:What is the 293rd term of S?

Statement 1: The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. So, each term is 2 less than the previous term. Since term_298 = -616, we can conclude that: term_297 = -614 term_296 = -612 term_295 = -610 So, we COULD keep going to determine the value of term_293 (which happens to be -606) Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The first term of S is -22. Since this statement tells us nothing about the NATURE of the sequence, there's no way to determine the value of term_293 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

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