1. ## Summation problem......

How do I find the summation of 1+3+9+........+n without assuming any summation formula?
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2. As I can see from the sequence, I see that it is a geometric sequence.

You can use the formula: $\displaystyle S_n=\dfrac{ar^n - a}{r - 1}$

Where:
a = the first term
r = common ratio, which in this case is 3
n = nth term that it goes to

3. Originally Posted by Educated
As I can see from the sequence, I see that it is a geometric sequence.

You can use the formula: $\displaystyle S_n=\dfrac{ar^n - a}{r - 1}$

Where:
a = the first term
r = common ratio, which in this case is 3
n = nth term that it goes to
But I said without assuming any summation formula ....

4. Oh, I thought you meant without the sigma notation $\displaystyle \sum$.

In that case, the only way that I can think of is by just adding them up manually.

5. Originally Posted by Arka
But I said without assuming any summation formula ....
What you do is reproduce the working that leads to the general formula for this particular question, that is, derive the formula from first principles for this particular question.

6. Thanks a lot..............Mr. Fantastic....