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In the sequence S, the difference between any two consecutive terms is [#permalink]
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23 May 2017, 06:03
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In the sequence S, the difference between any two consecutive terms is equal. If the sum of the fourth term and the fifth term of the sequence is equal to the seventh term of the sequence, what is the value of the second term of the sequence? A. 4 B. 0 C. 4 D. 8 E. Cannot be Determined
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In the sequence S, the difference between any two consecutive terms is [#permalink]
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23 May 2017, 06:03
The official solution has been posted. Looking forward to a healthy discussion..
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Re: In the sequence S, the difference between any two consecutive terms is [#permalink]
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23 May 2017, 06:09
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the sequence is in AP and the second term would be 1st term plus the common difference. Now,2a +7d = a+6d => a+ d = 0 > option B



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Re: In the sequence S, the difference between any two consecutive terms is [#permalink]
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23 May 2017, 07:43
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Let the first seven terms be denoted as below a,a+d,a+2d,a+3d,a+4d,a+5d,a+6d
Now, a+3d+a+4d=a+6d a=d
So second term = dd = 0
Answer is B. 0



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Re: In the sequence S, the difference between any two consecutive terms is [#permalink]
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31 May 2017, 03:44
Official Solution Given• In a sequence S, difference between any two terms is equal
o S is an arithmetic sequence o Let the first term of the sequence be a and the common difference be d • 4th term + 5th term = 7th term
o 4th term = a + (41)*d = a+ 3d o 5th term = a + (51)*d = a +4d o 7th term = a + (71)d = a + 6d To Find: a + d = ? Working Out• (a + 3d) + (a+4d) = a+ 6d
o 2a + 7d = a + 6d
o a + d = 0 • Hence, the value of the 2nd term of the sequence = a + d = 0 Answer: BThanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
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Re: In the sequence S, the difference between any two consecutive terms is [#permalink]
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20 Jun 2017, 14:12
a, a+d, a+2d, a+3d, a+4d, a+5d, a+6d, a+7d.
a4= a7a5 = 2d
Therefore: a2= a4  d  d= 0
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Re: In the sequence S, the difference between any two consecutive terms is [#permalink]
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14 Jul 2017, 01:00
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EgmatQuantExpert wrote: In the sequence S, the difference between any two consecutive terms is equal. If the sum of the fourth term and the fifth term of the sequence is equal to the seventh term of the sequence, what is the value of the second term of the sequence? A. 4 B. 0 C. 4 D. 8 E. Cannot be Determined
Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts A very easy question! Use concept of AP. a+3d + a+4d = a+6d a+d = 0
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In the sequence S, the difference between any two consecutive terms is [#permalink]
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06 Aug 2017, 23:59
a+3d+a+4d=a+6d [From problem statement] a+d=0 > This would be the 2nd term of the series. Option B.



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Re: In the sequence S, the difference between any two consecutive terms is [#permalink]
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07 Aug 2017, 21:14
EgmatQuantExpert wrote: In the sequence S, the difference between any two consecutive terms is equal. If the sum of the fourth term and the fifth term of the sequence is equal to the seventh term of the sequence, what is the value of the second term of the sequence?
A. 4 B. 0 C. 4 D. 8 E. Cannot be Determined let x+3=fourth term x+4=fifth term x+6=seventh term adding, 2x+7=x+6➡ x=1=first term sequence=1,0,1,2,3,4,5.. second term=0 B




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