Question

1. Write whether every positive integer can be of the
form 4q+2, where q is an integer. Justify your answer,

2. Show that the square of an odd positive integer is of the
form 8m+ 1, where m is some whole number.
;
3. Prove that the square of any positive integer is of the
form 57, 5q+1,59 + 4 for some integer q. ​

Answer 1

Step-by-step explanation:

ans 1) yes, 4q+2 q let be 1&2

4×1+2 = 6

4×2+2= 10

thus this is the positive integer.

2) 8m+1 where m is 1&3

thus 8×1+1= 9. is the square of 3

8×3+1= 25 is the square of 5

3) yes, 5q+1= 5×2+1= 11

5×2+4= 14 in the firm of 57

Answer 2

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