SOLUTION: complete the pattern (what is the ?) 2, 7, 26, 101, 400, ? answer: 1595 800 695 1840 have no idea what they are asking..

Algebra ->  Sequences-and-series -> SOLUTION: complete the pattern (what is the ?) 2, 7, 26, 101, 400, ? answer: 1595 800 695 1840 have no idea what they are asking..      Log On


   

Question 1153680: complete the pattern (what is the ?)
2, 7, 26, 101, 400, ?
answer:
1595
800
695
1840
have no idea what they are asking..
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(53751) About Me  (Show Source):
You can put this solution on YOUR website!
.

There is no ANY mathematical meaning in it.

Save your time and do not spend it for nothing.


If you have nothing to do and if you want exercise your mind, look into this my lesson
    - Some logic problems
in this site.


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The answer (the post) by @MathLover1 is copied from this Internet page

https://www.wyzant.com/resources/answers/235301/what_is_the_next_number_in_this_sequence_2_7_26_101_400



Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

It looks like the relationship between successive number is

x%5Bn%2B1%5D=4x%5Bn%5D-n

Where n+= 1,+2, 3,+4...
and x%5Bn%5D+= 2, 7, 26, 101,+400

Let's check this.

The first number is 2
x%5B2%5D+=+4%282%29-1+=+7

The second number is 7.
x%5B3+%5D=+4%287%29+-2+=+26

The third number is 26.
x%5B4%5D+=+4%2826%29+-+3+=+101

The fourth number is 101.
x%5B5+%5D=+4%28101%29+-+4+=+400

The fifth number is 400.
then,
x%5B6%5D+=+4%28400%29+-+5+=+1595
answer: 1595