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Sub 505 (Easy)|   Sequences|      
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Bunuel
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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 24 Jan 2016, 06:27
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E
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Difficulty:

5% (low)

Question Stats:

93% (01:05) correct 7% (01:19) wrong based on 146 sessions

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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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E
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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 24 Jan 2016, 08:13
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Bunuel
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
Show more

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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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 28 Jan 2016, 23:59
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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 29 Jan 2016, 02:28
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chetan2u
Bunuel
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
Show more

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

Answer:E

is the above correct approach???
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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 Updated on: 29 Jan 2016, 03:03
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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IMO : E

Approach to this kind of sum is simple:
Addition/subtraction:
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
2- Step – adding 2
This sum is a combination of of addition and multiplication
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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 29 Jan 2016, 02:56
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Bunuel
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
Show more

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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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 30 Jan 2016, 00:23
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Bunuel
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
Show more


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
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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 31 Jan 2016, 09:12
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chetan2u
Bunuel
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
Show more

Hi,

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

Answer:E

is the above correct approach???
Show more

The above approach is absolutely correct..
same Q can be viewed separately at times..
this very Q your observation about pattern is different from what I had observed..
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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The first five numbers in a regular sequence are 4, 10, 22, 46, and 94 14 Aug 2018, 03:33
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