Question

Use the formula for the sum of the first n integers to evaluate the sum given below, then write it in closed form. A) 6 + 7 + 8 + 9 + ... + 500

Answer 1

125235

Explanation:

There are n=495 integers from a₁=6 to aₙ=500:

`\displaystyle S_n=(n)/(2)(a_1+a_n)\\\\S_(495)=(495)/(2)(6+500)\\\\S_(495)=(247.5)(506)\\\\S_(495)=125235`

Therefore, the sum of the integers will be 125235