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nth term of an AP, consisting of only positive integers, is denoted by

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Manager
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Joined: 13 Jan 2018
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nth term of an AP, consisting of only positive integers, is denoted by  [#permalink]

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New post 26 Oct 2018, 05:10
1
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:38) correct 48% (02:00) wrong based on 25 sessions

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\(n_{th}\) term of an AP, consisting of only positive integers, is denoted by \(a_n\). It is given that \(a_3 = 4\) and \(a_{n-2} = 9\). What is the value of \((a_n + 2n +2)\)

A. 31
B. 32
C. 33
D. 34
E. 35

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Manager
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Joined: 14 Jun 2018
Posts: 223
Re: nth term of an AP, consisting of only positive integers, is denoted by  [#permalink]

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New post 26 Oct 2018, 11:46
1
Mean of the AP = (9+4)/2 = 6.5
Sum of first and last term = 13

Case 1
First term : 1 ; Last Term 12 ; Common Diff = 1
This isn't possible because 3rd term will be 3 whereas question says it's 4.

Case 2
First term : 2 ; Last Term 11; CD = 1
This is possible
No of terms = 10 = n
Last term = 11
11 + 20 + 2 = 33
Option C
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Joined: 18 May 2017
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Re: nth term of an AP, consisting of only positive integers, is denoted by  [#permalink]

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New post 27 Oct 2018, 20:23
This is a very poor and unclear question! :x
GMAT Club Bot
Re: nth term of an AP, consisting of only positive integers, is denoted by &nbs [#permalink] 27 Oct 2018, 20:23
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nth term of an AP, consisting of only positive integers, is denoted by

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