If To, T₁, T2, ..., T, represent the terms in the expansion of (x + a)", then find the value of (To-T₂+ T4-...)²+(T₁-T3 + T...)², ne N.

Q: Find the term indep of I in the expansion of 7 文(古一警」 3 S ping to 'TE "ittle tr week

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Q: find a Positive integern for which the equality holds %3D

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A: To check: Which of the following is not a property of radicals: Formula rule: Exponent rule:…

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Q: Find the solution to this recursive relation  an=2nan-1, a0=3

A: Given that  an=2nan-1, a0=3 To find the solution of this recursive relation

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Q: If the coefficient of 4 consecutive terms in the expansion of (1+x)" are a₁, a2, a3, a4…

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Q: Find the dual of the Boolean expression O T. (T+0). (+y+2) O a. (1.1). (* + y | 2) None of these OT.…

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Q: Prove an+1 = (an2+ 1) / 2 with a1 = 2 is monotonic increasing.

A: Solution:-

Q: 3. For the following terms from the expansion of 10 (a + b)¹⁰ state the coefficient in both „C, n r…

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Q: Show that x2 + 9 is prime.

A: To show x2 + 9 is prime.

Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 7. For n ≥ 1, verify that 12+32 +52 ++ (2n- +3²+5² · + 2n-1)² = (2n+1) 3

A: Ans : page 1:Ans page 2:

Q: Deduce from Q2 that if an integer N can be written as N = x² + ny² , and if a prime number q | N can…

A: We will use standard division algorithms to deduce the given statement.

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

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A: Given data

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Q: Prove that if n = nxn-1 holds integer value of -n, which means that for a positive integer value n,…

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Q: Find all sollutions in integers of 34x+8y=6

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Q: Let Find formulas for the entries of M", where n is a positive integer. Hint: a formula such as 5…

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Q: If [5 - -8 A = [611] 0 " then A- 1 =

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Q: let a and b be integers, if 7|(17a+25b) then prove 7|(10a+11b)

A: 7 | (17a+25b)  => There exist some integer k such that       17a+25b = 7k

Q: provide a recursive definition for the set Y of all negative multiples of 7.

A: Consider the provided question, Recursive definition: Recursion is the general definition term for…