Prove that the sum of two consecutive exponents of the number 6 is divisible by 7.

Step-by-step explanation:

To prove: The sum of two consecutive exponents of the number 6 is divisible by 7.

Proof: Let the consecutive exponents of the number 6 be:

and .

Then , the sum of two consecutive exponents of the number 6 is represented as :

.

Now, according to question, we have to prove that The sum of two consecutive exponents of the number 6 is divisible by 7, thus

=

⇒=

which means that the sum of two consecutive exponents of the number 6 is divisible by 7.

Hence proved.

answer:

step-by-step explanation: