SOLUTION: Insert the indicated number of arithmetic means given the first and last terms. Show the solution 3 and 36 indicated [7]

Question 1184411: Insert the indicated number of arithmetic means given the first and last terms. Show the solution
3 and 36
indicated [7]
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Insert the indicated number of arithmetic means given the first and last terms.
and
indicated number []
Between the endpoints, and , the distance is units.
inserted arithmetic means divide this distance, this segment [,], in gaps of equal length.

is the of the arithmetic sequence
, ,, ,, , , ,
so, you insert ,, ,, , ,

Answer by ikleyn(52921) (Show Source): You can put this solution on YOUR website!
.

The method of solution was just explained several times at the forum, and all necessary computational examples there just presented,
so the subject should be clear to EVERYBODY.

See the links

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1184342.html

and

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1184375.html

at this forum.

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