7 + 9 + 11 = 27
36
The sum of any two consecutive integers is odd. Try it out. 3 + 4 = 7 4 + 5 = 9 If it works for those, it works for all of them.
They are: 7+9+11 = 27
False. let the integers be n, n+1 and n+2 3n+3 is there sum and we need this to be even for all integers n. if n is odd, then 3n is odd ( take n=5 3x5=15 odd) any odd number +3 is even. if n is even, then 3n is even and an even number plus and 3 is odd so the answer is false You could just say or prove it is false with a single counter example. Take the 3 consecutive integers, 2,3,4 their sum is 9 and you are done. I mentioned the 3n+3 so you can see why it is false for even set of 3 when the first of the 3 consecutive numbers is even.
The integers are odd and they are 3, 5, 7 and 9.
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
7 + 9 + 11 = 27
7 + 9 + 11 = 27
36
The sum of any two consecutive integers is odd. Try it out. 3 + 4 = 7 4 + 5 = 9 If it works for those, it works for all of them.
33/3 = 11 so the three are 9, 11 and 13
They are: 7+9+11 = 27
They are: 7+9+11+13 = 40
26
There are no consecutive odd integers whose sum is equal to 35. 9+11+13 = 33, and 11+13+15 = 39.
False. let the integers be n, n+1 and n+2 3n+3 is there sum and we need this to be even for all integers n. if n is odd, then 3n is odd ( take n=5 3x5=15 odd) any odd number +3 is even. if n is even, then 3n is even and an even number plus and 3 is odd so the answer is false You could just say or prove it is false with a single counter example. Take the 3 consecutive integers, 2,3,4 their sum is 9 and you are done. I mentioned the 3n+3 so you can see why it is false for even set of 3 when the first of the 3 consecutive numbers is even.