1. ## arithmetic progression--need help

Consider the sum of the first n integers. For what value of n will the sum first exceed 1000?

need help

2. Originally Posted by nikk
Consider the sum of the first n integers. For what value of n will the sum first exceed 1000?

need help
hint: the sum of the first n positive integers is given by $\displaystyle \frac {n(n + 1)}2$

3. Originally Posted by nikk
Consider the sum of the first n integers. For what value of n will the sum first exceed 1000?

need help
Solve $\displaystyle \sum_{k=1}^{n}k=\frac{n(n+1)}{2}\geqslant 1000$

4. is it the formula both of you come from this

Sum(n) = 1+2+3+4 ....... +n = n(n+1)/2

???

5. my ans is = 45

can u reconfirm it??

6. The formula for summing integers from 1 to n is $\displaystyle \frac{n(n+1)}{2}$. That should get you started.

edit: How did I miss all those posts?

Yes OP the answer is 45

7. Originally Posted by Jameson
The formula for summing integers from 1 to n is $\displaystyle \frac{n(n+1)}{2}$. That should get you started.

edit: How did I miss all those posts?

Yes OP the answer is 45