SOLUTION: another caliper test question: Section the option for "?" that continues to pattern of 7, 16, 8, 27, 9, ? answers: 27 10 40 37

Algebra ->  Sequences-and-series -> SOLUTION: another caliper test question: Section the option for "?" that continues to pattern of 7, 16, 8, 27, 9, ? answers: 27 10 40 37      Log On


   

Question 1153679: another caliper test question:
Section the option for "?" that continues to pattern of
7, 16, 8, 27, 9, ?
answers:
27
10
40
37
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Pattern is not yet well established. Best choice might be 38 but is not given as one of those to choose from. Notice the odd index terms increase by 1, and the even index terms seem to increase by 11.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

highlight%287%29, 16,+highlight%288%29, 27, highlight%289%29,?

Every other number (highlighted in red) is counting up by one from 7:
7, 8,+9, ...

The 16 is 2%2A8, which is the following number.
The 27 is 3%2A9, which is the following number.
So the sequence seems to be, starting with n=7:

n, 2%2A%28n%2B1%29, n%2B1, 3%2A%28n%2B2%29, n%2B2, 4%28n%2B3%29, n%2B3, ...

so, you have
7, 16, 8, 27,+9,4%2A%287%2B3%29=40, ++10
7, 16, 8, 27, 9,highlight%2840%29, then will come 10 and so on

your answer is: 40