Question

for some integer m, every odd number n, of the form?

Answer 1

Answer:

Any odd number can be written in the form 2m+1 for some integer m

Step-by-step explanation:

We know that sum of an even number and an odd number is always odd.

Then, clearly 2m+1 is always an odd number.

1=2(0)+1

3=2(1)+1

5=2(2)+1

7=2(3)+1

9=2(4)+1

.

.

.

Hence

Any odd number can be written in the form 2m+1 for some integer m

Answer 2

Answer:

so Option D is correct 2m+1

Step-by-step explanation:

for some integer m, every odd number n, of the form?

m can be odd or even depending upon integer being odd or even

for example integer = 2 & 3 m =2 (even) & m = 3(odd)

m+1 can be even or odd depending upon integer being odd or even

for example integer 2 & 3 m+1 = 3(odd) & m+1 =4 (even)

2m  = Even independent of integer being odd or even

for example integer 2 & 3 2m = 4(even) & 2m =6 (even)

2m+1 = odd independent of integer being odd or even

2m = Even as shown above

1 is always odd

Even + odd + Odd

2m + 1 = odd

for example integer 2 & 3 2m+1 = 5(odd) & 2m+1 =7 (odd)

so Option D is correct 2m+1