Compute the sum of the integers from 1 to 1000. Compute the sum of the integers from 1 to 1000. A. 500,500 C. 600,600 B. 700,700 D. 400,400 Log in or register to post comments Solution Click here to… Jhun Vert Tue, 06/18/2024 - 13:26 Solution Click here to expand or collapse this section $S = 1 + 2 ~ + ~ ... ~ + ~ 500 + 501 ~ + ~ ... ~ + ~ 999 + 1000$ $S = (1 + 1000) + (2 + 999) + ~ .... ~ + ~ (500 + 501)$ $S = 1001 + 1001 + ~ .... ~ + ~ 1001$ $S = 1001 \times 500$ $S = 500,500$ Another Solution Click here to expand or collapse this section $S = 1 + 2 + 3 ~ + ~ ... ~ + ~ 1000$ ← Sum of Arithmetic Progression $S = \dfrac{n}{2}(a_1 + a_n)$ $S = \dfrac{1000}{2}(1 + 1000)$ $S = 500,500$ Log in or register to post comments
Solution Click here to… Jhun Vert Tue, 06/18/2024 - 13:26 Solution Click here to expand or collapse this section $S = 1 + 2 ~ + ~ ... ~ + ~ 500 + 501 ~ + ~ ... ~ + ~ 999 + 1000$ $S = (1 + 1000) + (2 + 999) + ~ .... ~ + ~ (500 + 501)$ $S = 1001 + 1001 + ~ .... ~ + ~ 1001$ $S = 1001 \times 500$ $S = 500,500$ Another Solution Click here to expand or collapse this section $S = 1 + 2 + 3 ~ + ~ ... ~ + ~ 1000$ ← Sum of Arithmetic Progression $S = \dfrac{n}{2}(a_1 + a_n)$ $S = \dfrac{1000}{2}(1 + 1000)$ $S = 500,500$ Log in or register to post comments
Solution Click here to…