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Yes. If n is odd, then n + c where c is an even constant will be odd. n + d where d is an odd constant will be even.

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If n plus 4 represents an odd integer the next larger number odd integer is represented by?

Every integer is either even (divisible by 2) or odd (not divisible by 2). Since an even number plus 1 is odd and an odd number plus one is even, because 1 does not divide 2. We know (n + 4) is odd. The next integer is (n + 4 + 1) = (n + 5), because an odd number plus 1 is even, (n + 5) is even. The integer after (n + 5) is (n + 6), since (n + 5) we know is even, (n + 6) must be odd. Since (n + 6) is the smallest integer that is greater than (n + 4) and is odd, so (n + 6) is the next odd integer.


What is five times an odd integer plus three times the next odd integer equals 62?

Let the odd integer be represented as ( x ). The next odd integer would then be ( x + 2 ). The equation can be set up as ( 5x + 3(x + 2) = 62 ). Simplifying this gives ( 5x + 3x + 6 = 62 ), which leads to ( 8x + 6 = 62 ). Solving for ( x ), we find ( 8x = 56 ), resulting in ( x = 7 ). Thus, the odd integer is 7, and the next odd integer is 9.


Show that any positive odd integer is of the form 6q plus 1 or 6q plus 3 6q plus 5 where q is some integer?

Any positive odd integer can be expressed in the form of ( 2k + 1 ), where ( k ) is a non-negative integer. When dividing this expression by 6, the possible remainders are 1, 3, and 5, corresponding to the cases where ( k ) is congruent to 0, 1, or 2 modulo 3, respectively. Thus, an odd integer can be represented as ( 6q + 1 ), ( 6q + 3 ), or ( 6q + 5 ) for some integer ( q ). This shows that every positive odd integer fits one of these forms.


What is an odd plus an even?

Well, lets say you add 3 and 6, you would get 9 which is odd. How about 7 and 6 is 13 again which is odd so I think the answer would be... Even + Odd = Odd :)


What is the next integer if m plus 5 is an integer?

m+6


If n is an odd integer prove 8 divides n of n-1?

9


What is the absolute value of integer plus 6?

n+6


What are the rules of an even number?

All even numbers can be divided by two, while odd numbers can't. Also, an even number plus an even number is always even. An odd number plus an odd number is always even. An even number plus an odd number is always odd.


Is this statement true If x is an odd integer then the median of x x 2 x 6 and x 10 is an odd number?

The statement is true. If ( x ) is an odd integer, then the numbers ( x ), ( x + 2 ), ( x + 6 ), and ( x + 10 ) will be ( x ) (odd), ( x + 2 ) (odd), ( x + 6 ) (odd), and ( x + 10 ) (odd). The median of these four numbers, when arranged in order, will be the average of the two middle numbers, which are also odd. Therefore, the median will be an odd number.


Is 37 an odd or an even?

odd. An even integer is divisible by 2, such as ... -8, -6, -4, -2, 0, 2, 4, 6, 8, and so on. All other integers are odd.


What are two consecutive odd integers whose sum is 56?

1. let n = the odd integer then n + 2 must be the next odd integer 2. n + (n + 2) = 56 3. 2n + 2 = 56 4. 2n = 54 5. n = 27 6. 27 + 2 = 29 is the next odd integer


Is 315 odd or even?

Odd. If an integer ends in 1, 3, 5, 7, or 9 it is odd. If an integer ends in 0, 2, 4, 6, or 8 it is even.