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If the sequence S has 300 terms, what is the 293rd term of S

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If the sequence S has 300 terms, what is the 293rd term of S [#permalink] New post 20 Aug 2012, 02:23
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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.

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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink] New post 20 Aug 2012, 02:23
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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.

Answer: A.
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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink] New post 21 Aug 2012, 08:51
Bunuel wrote:
RESERVED FOR A SOLUTION.

Answer is A.

i) T298= -616 and common difference=-2
from this we can calculate T293, hence sufficient.

ii) T1= -22, nothing else is provided or known, hence insufficient.

Hence A is the answer.

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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink] New post 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
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Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink] New post 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] New post 24 Aug 2012, 06:11
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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.

Answer: A.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

Common Sense, really. NO MATH!

Kudos is this helps ! :)
Re: If the sequence S has 300 terms, what is the 293rd term of S   [#permalink] 02 May 2013, 19:34
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