SOLUTION: How can i find a common difference for this arithmetic sequence? {{{ 1/sqrt (2) }}},{{{ sqrt (2) }}},{{{ 3/sqrt (2) }}}

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Question 1006100: How can i find a common difference for this arithmetic sequence?
+1%2Fsqrt+%282%29+,+sqrt+%282%29+,+3%2Fsqrt+%282%29+
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
give them all a common denominator and it might be easier to see.

sqrt(2) multiplied by sqrt(2) / sqrt(2) gives you sqrt(2)^2/sqrt(2) which is equal to 2/sqrt(2).

yoour sequence is now:

1/sqrt(2), 2/sqrt(2),3sqrt(2).

now it's easier to see that the common difference is 1/sqrt(2).

1/sqrt(2) + 1/sqrt(2) = 2/sqrt(2) + 1/sqrt(2) = 3/sqrt(2)