Question 1139635: 14, 23, 32, 41,...
what is the 50th term
Found 3 solutions by josgarithmetic, greenestamps, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
Just a note to say that it is impossible to know the right answer for the problem as shown.
It APPEARS to be an arithmetic sequence with a common difference of 9 between terms. However, since the problem doesn't specify that it is an arithmetic sequence, the subsequent terms in the sequence, including the 50th term, could be ANY numbers.
Nearly all problems you see of this type are equally invalid. If specific information is not provided about the kind of sequence represented by a given sequence of numbers, determining subsequent terms of the sequence is purely a matter of guessing.
Any logical pattern you might see in the given numbers might not be the "right" pattern and will give you the "wrong" answer.
However, if you see a logical pattern for the given numbers and use that pattern to find an answer to the problem, then that answer, even though "wrong", is equally as good an answer as the "right" answer.
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To tutor @MathTherapy....
Do you SERIOUSLY think that, because the first four terms of a sequence form an arithmetic progression, the entire sequence has to be arithmetic?!
So the sequence 14, 23, 32, 41, 0, 0, 0, ... is not a valid sequence?
You are teaching some VERY BAD mathematics when you say the given sequence is "obviously" arithmetic. Assuming some information about a given problem that is not given in the statement of the problem is a dangerous way to operate.
I take the time specifically to note -- correctly -- that the given sequence is not NECESSARILY arithmetic; then you provide a response that does nothing other than state -- incorrectly -- that the sequence IS arithmetic.
You like to say that other tutors have nothing better to do than provide wrong answers to readers' questions. So you apparently have nothing better to do than provide responses saying that other tutors' correct responses are wrong....?!
In trying to make yourself look smarter than other tutors, you are instead making a fool of yourself.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
14, 23, 32, 41,...
what is the 50th term
It's quite obvious that this is an AP (Arithmetic Progression), so the following formula for an AP can be used:  , where:  .
Substitute all variables and you will find the value of the 50th term.
I don't know why the other person would say that it's IMPOSSIBLE to determine the 50th term. Is he BLIND?
Then again, some of these people have nothing else to do but come to this forum and act as though they're Johann Goethe or Albert Einstein.
Ignore his comments!
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