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if k is an integer then which of the following is true??????????/
a)an integer of the form 4k+3 can always be put in the form of 2k+1
b) an integer of the form 2k-1 can always be put in the form of 4k+1
c) an integer of the form 2k-1 can always be put in the form of 4k+3
d) an integer of the form 2k+1 can be always put in the form 4k+3
e) an integer of the form 4k+1 can always be put in the form 2k-1
sir plzzz explain each and every step........... i will surely approve..................... need the solution urgently...............
kedar joshi....
a b and e are true
a) 4k+3 can be written as 4k+2+1=2(2k+1)+1 = 2c+1 where c=2k+1;i.e, some canstant. Correct
b) 2k-2+1=2(k-1)+1=2c+1 which is not equal to 4k+1 since multiplying 2c+1 by 2, we get 4c+2. Incorrect
c) 2k-1=2k-2+1=2(k-1)+1=2c+1 and by a), we get 2c+1=4k+3. Correct
d) reverse of part a). Correct
e) reverse of part b). Incorrect
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