GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 02 Jun 2020, 01:42

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A sequence, a1=64, a2=66, a3=67, an=8+a(n-3), which of the

Author Message
TAGS:

### Hide Tags

Manager
Joined: 22 Feb 2009
Posts: 147
Re: A sequence, a1=64, a2=66, a3=67, an=8+a(n-3), which of the  [#permalink]

### Show Tags

04 Aug 2014, 21:19
Bunuel wrote:
bhanuvemula wrote:
A sequence, a1=64, a2=66, a3=67, an=8+an-3, which of the following is in the sequence?

105
786
966
1025

can any one help me with this.
Bhanu

Easier way would be to write down several terms from the sequence:
$$a_1 = 64$$
$$a_2 = 66$$
$$a_3 = 67$$

$$a_4 = 8 + a_1 = 72$$
$$a_5 = 8 + a_2 = 74$$
$$a_6 = 8 + a_3 = 75$$
...
$$a_n = 8 + a_{n - 3}$$

Note that the terms in the sequence have remainder of 0 ($$a_1$$, $$a_4$$, $$a_7$$, ...), 2 ($$a_2$$, $$a_5$$, $$a_8$$, ...) or 3 ($$a_3$$, $$a_6$$, $$a_9$$, ...) upon division by 8. Only 786 has appropriate remainder of 2 (105 and 1025 has a remainder of 1 upon division by 8 and 966 has a remainder of 6).

Hope it's clear.

Thanks for your exp. I think your solution is the best and shortest way to reach the answer.
Manager
Joined: 28 Jul 2016
Posts: 128
Re: A sequence, a1=64, a2=66, a3=67, an=8+a(n-3), which of the  [#permalink]

### Show Tags

29 Mar 2017, 09:19
bhanuvemula wrote:
A sequence, a1=64, a2=66, a3=67, an=8+a(n-3), which of the following is in the sequence?

A. 105
B. 786
C. 966
D. 1025

We should deduct 64 / 66 / 67 from answers and then look for a number that is multiple of 8

PS: please add one more wrong answer choise E to make this question looks like GMAT question
Non-Human User
Joined: 09 Sep 2013
Posts: 15036
Re: A sequence, a1=64, a2=66, a3=67, an=8+a(n-3), which of the  [#permalink]

### Show Tags

29 Mar 2020, 14:01
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A sequence, a1=64, a2=66, a3=67, an=8+a(n-3), which of the   [#permalink] 29 Mar 2020, 14:01

Go to page   Previous    1   2   [ 23 posts ]