SOLUTION: Find the number of terms in the following arithmetic sequence. 8,11,14,17,...41

Question 1003573: Find the number of terms in the following arithmetic sequence.
8,11,14,17,...41
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Each term is more than the one before.
, , etc.

MENTAL MATH:
The difference between the last term an the second term is
.
That means that after , was added times,
meaning that there are terms after .
Since is term number ,
there are terms.

FORMULA-HAPPY:
Since each term is more that the one before,
the common difference for this arithmetic sequence is .
The first tern is .
In an arithmetic sequence, term number is
.
In this arithmetic sequence, term number is
.
We want to know what is the term number for the last term, .
So we write,
, and solve for :
-->-->-->-->-->--> .
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