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

Question

asked Nov 25, 2024 122k views

1 Answer

Kausko · Answer 1 · 2024-12-01T21:53:12+0000

Answer:

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