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Math Expert V
Joined: 02 Sep 2009
Posts: 56373
The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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Difficulty:   5% (low)

Question Stats: 92% (01:06) correct 8% (01:03) wrong based on 97 sessions

### HideShow timer Statistics The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

A. 142
B. 154
C. 176
D. 182
E. 190

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Math Expert V
Joined: 02 Aug 2009
Posts: 7763
Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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Bunuel wrote:
The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

A. 142
B. 154
C. 176
D. 182
E. 190

Hi,
it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actuals..

when we see the sequence 4, 10, 22, 46, and 94, we see that each succeeding number is some value more than twice the previous number..
10=2*4+2..
22=2*10+2..
and so on..
so next number= 2*94+2=190..
E
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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Hi Bunuel,

What is the source of this question? It seems far more like a question that you might find in an "IQ test" or "puzzle" book than an actual GMAT question (and it's highly unlikely that the GMAT would ever give you 5 numbers and ask you to reverse-engineer the sequence from it). This is all meant to say that anyone studying for the GMAT can (and should) ignore this question.

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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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chetan2u wrote:
Bunuel wrote:
The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

A. 142
B. 154
C. 176
D. 182
E. 190

Hi,
it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actuals..

when we see the sequence 4, 10, 22, 46, and 94, we see that each succeeding number is some value more than twice the previous number..
10=2*4+2..
22=2*10+2..
and so on..
so next number= 2*94+2=190..
E

Hi,

What is regular sequence? I tried to google it. I saw many definitions. However, I tried to solve it using the following:

I noticed the following pattern

10= 4 +x.......x=6
22=10+x.......x=12
46=22+x.......x=24
94=46+x.......x=48

I observed that X is doubled each time so

48*2+94= 190

is the above correct approach???
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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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IMO : E

Approach to this kind of sum is simple:
Adding / subtracting a fixed number to the previous number (simple sum)
Multiplication/division:
Multiply/ divide a fixed number to the previous number (simple sum)
Squaring and cubing:
List of squares and cubes of a particular number. (simple sum)
Tricky sums involve combination of 2 or more in the above methods:
For instance in this sum
1- Step – multiplying by 2
This sum is a combination of of addition and multiplication

Originally posted by vivekkumar987 on 29 Jan 2016, 02:52.
Last edited by vivekkumar987 on 29 Jan 2016, 03:03, edited 1 time in total.
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Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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Bunuel wrote:
The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

A. 142
B. 154
C. 176
D. 182
E. 190

One vote for E.
4 = 10- 6( 6 = 6*2^0)
10 = 22 - 12 (12 = 6* 2^1)
22 = 46 - 24 ( 24 = 6 * 2^2)
46 = 94 - 48 ( 48 = 6 * 2^3)
--> 94 = A - 6 *2^4 --> A = 94 + 96 = 190. The answer is E.
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Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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Bunuel wrote:
The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

A. 142
B. 154
C. 176
D. 182
E. 190

I took the difference of the terms
let the next term be 'X'

terms = 4,10,22,46,94,X
Difference = 6,12,24,48

If we observe closely the difference is the addition of each term i.e. (6+6=12, 12+ 12=24, 24+24=48)
So the difference of the next term must be 48+48=96.

therefore X-94 =96. So X=190
Ans: E
Math Expert V
Joined: 02 Aug 2009
Posts: 7763
Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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chetan2u wrote:
Bunuel wrote:
The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

A. 142
B. 154
C. 176
D. 182
E. 190

Hi,
it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actuals..

when we see the sequence 4, 10, 22, 46, and 94, we see that each succeeding number is some value more than twice the previous number..
10=2*4+2..
22=2*10+2..
and so on..
so next number= 2*94+2=190..
E

Hi,

Quote:
What is regular sequence? I tried to google it. I saw many definitions. However, I tried to solve it using the following:

Hi, a regular sequence is a sequence which increases or decreases according to a certain pattern..
the relationship between its terms is the same..

Quote:
I noticed the following pattern

10= 4 +x.......x=6
22=10+x.......x=12
46=22+x.......x=24
94=46+x.......x=48

I observed that X is doubled each time so

48*2+94= 190

is the above correct approach???

The above approach is absolutely correct..
same Q can be viewed separately at times..
IMPORTANT is to find a pattern which fits in for all terms..
This type of Q, normally, would not be seen in GMAT..
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Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94  [#permalink]

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_________________ Re: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94   [#permalink] 14 Aug 2018, 03:33
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