B. Show that 4n+ 4n+1 + 4n+2 + 4n+3 + 4n+4 is divisible by 11 for any positive integer n. C. Find the possible values of a so that an + an+1 + an+2 +an+3 + an+4 will be divisible by 11.

Q: In Z6, evaluate the following expressions. > > V 3- (2 × 5) 3² +4² 5+3 2 × 3 1. 1 2. 2 3. 3 4. 4 5.…

A:

Q: Find the coefficient for the term afb5 from the expansion of: (3a - 2b)¹1 Answer:

A: We need to find the coefficient of a6b5 in the expansion of:(3a-2b)11

Q: The number 42 has the prime factorization 2- 3-7. Thus, 42 can be written in four ways as a product…

A: Factorise  910 inti prine factors and the find the required pairs.

Q: a) 5+3+1+(-1) ++ (-33)

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Q: 1+1+5215+5102

A:

Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

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Q: = 5 Find a3, a4, and as for the recursive formula an = an-1 +3an-2 if a1 = 2 and a2

A: given   recursive formula is an= an-1+3an-2and   a1=2   ,  a2=5then we have to find  a3 , a4  , a5…

Q: what is 4ab+56ab+34ab2

A: We add like terms and take common then we get answer

Q: 26 + 4 × [9 - (1 + 4)

A: Given that  26 + 4 × [9 - (1 + 4)] To simplify the expression

Q: What is the greatest common divisor of 24 and 44? n If n is a natural number such that gcd(800, n) =…

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Q: Kathy's second card tells her to go back three steps. What integer represents her move back?

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Q: Show that if 9 | a3 + b3 + c3 then 3 divides at least one of the integers a, b, or c.

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Q: Ans: Find the remainder (smallest nonnegative integer) when 1015!-1010! is divided by 1013-

A:

Q: Evaluate this factorial expression: 6! -3!

A: factorial expression: 6! -3!

Q: 4503 is divisible by 2,3,,5,6,9or 10

A: 4503 is divisible by 2, 3, 5, 6, 9 or 10.