It is 2500.
No, the sum of any two consecutive integers is always even. For example, if we take two consecutive integers ( n ) and ( n+1 ), their sum is ( n + (n + 1) = 2n + 1 ), which is an odd number. However, if we consider the sum of integers with an even and an odd integer, the result is always odd. Thus, the statement is not accurate as framed.
The integers are -1, 1 and 3.
-1, 1, 3, 5
101
The sum of the integers from 1 to 100 can be calculated using the formula for the sum of an arithmetic series: ( S_n = \frac{n(n + 1)}{2} ), where ( n ) is the last integer in the series. Here, ( n = 100 ), so the sum is ( S_{100} = \frac{100(100 + 1)}{2} = \frac{100 \times 101}{2} = 5050 ). Therefore, the sum of the integers from 1 to 100 is 5050.
The sum of the integers from 1 to 100 inclusive is 5,050.
The first odd positive integers are "1" and "3" which the sum is 4.
4900
Divide the sum of the three consecutive odd integers by 3: -3 /3 = -1. The smallest of these integers will be two less than -1 and the largest will be two more than -1, so the three consecutive odd integers will be -3, -1, and +1.
No, the sum of any two consecutive integers is always even. For example, if we take two consecutive integers ( n ) and ( n+1 ), their sum is ( n + (n + 1) = 2n + 1 ), which is an odd number. However, if we consider the sum of integers with an even and an odd integer, the result is always odd. Thus, the statement is not accurate as framed.
The integers are -1, 1 and 3.
-1, 1, 3, 5
The formula for the sum of the squares of odd integers from 1 to n is n(n + 1)(n + 2) ÷ 6. EXAMPLE : Sum of odd integer squares from 1 to 15 = 15 x 16 x 17 ÷ 6 = 680
101
The sum of all the odd numbers from 1 through 100 is 10,000
The numbers are -3, -1, and 1.
Let's talk this out and see if we can work it out. The sum of the first N odd integers means, 1+3+5+7+9+11+... Where N is how many odd numbers we're adding. Let's choose numbers for N, and see if we can find a pattern. N=1 --> 1 (sum of the first odd integer) N=2 --> 1 + 3 = 4 (sum of the first 2 odd integers) N=3 --> 1 + 3 + 5 = 9 (sum of the first 3 odd integers) N=4 --> 1 + 3 + 5 + 7 = 16 Do you notice a pattern yet? Take a look at when N = 2, what is the sum? That's right, 4! and when N = 3... the sum is 9. N = 4 the sum is 16.... I see a pattern, do you? Answer: If you don't, you'll notice that the sum of the first N odd integers is always = N2