Question

The number which always divides the sum of any two consecutive odd numbers is ... A. 7 B. 11 C. 4 D.8
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Answer 1

Answer:

C. 4. Pls mark me as brainliest.

Step-by-step explanation:

All odd numbers can be represented in the form of 4n+1 or 4n+3 where n is a natural number (As 4n + 2 and 4n are odd)

Case 1:

First odd number = 4n + 1

Next odd number = 4n + 3

Sum = 4n + 1 + 4n + 3 = 8n + 4 = 4(2n + 1)

Multiple of 4

Case 2:

First odd number = 4n + 3

Next odd number = 4(n + 1) + 1 = 4n + 4 + 1 4n + 5

Sum = 4n + 3 + 4n + 5 = 8n + 8 = 4(2n + 2)

Multiple of 4