Given a positive integer n, how many decimal strings of length n begin or end with an even digit? (assume inclusive or). O (10)" - 5² (10)-2 O 5(10)-1+5(10)"-1 O 5(10)-1 +5(10)"-1 -5(10)-2 O 5(10)-1 +5(10)-¹ — 5(2)(10)¹-2 O None of these.

Q: In the expansion of (2 + 4y?) a. How many terms are in the expansion after like terms have been…

A: We will find the answers of all parts using binomial expansion.

Q: Compute A - 613 and (613)A, where A = - A-613 = ☐ 6 - 4 3 2 -7 - 3 1 3

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Q: Find the first three terms of the expansion (4 – 2x)³.

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Q: Use the definitions  to show that the following statements are true. For example, to show that 5 |…

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Q: In (5 – x) – In (5 + x) = -In 9

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Q: 17. Expand using Pascal's Triangle or the Binomial Theorem. Be sure to show the setup. Then,…

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Q: (a) On a certain computer system, a valid password is a sequence of 6 to 8 symbols. The first symbol…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: 20. What is the sum of all the exponents of the expansion of (8x-7y)¹2 a. 163 b. 150 c. 953 d. 156

A: Introduction: The binomial expansion theorem is very useful in expanding a binomial terms with…

Q: Use base-ten blocks to illustrate 111+5. 111 has flat(s), long(s), and unit(s). Starting with the…

A: Given that use base-ten blocks to illustrate 111÷5.

Q: What is the result of the following operation: (1,10) n (10) (A) 0 B) (1,10) (1,10) (1,10)

A: We have to find the intersection The intersection of two sets is the set of elements that are common…

Q: (3) The inverse of 3 modulo 7 is (a) -1 (b) -2 (c) -3 (d) -4

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Q: where there are a; + 1 options for each exponent x; because 0 ≤ x ≤ a,, and so the number of…

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Q: ) 6. Express the sum 9 + 28 + 65 + ... + (n'+1) using E-notation.

A: We have to find sum of series:

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: Prove by induction that (−2)º + (−2)¹+ (−2)² + ... + (−2)¹ : = for all n positive odd integers.…

A: Let's start by plugging in n=1 into the formula given:   (-2)^0 + (-2)^1 = (1 - 2^(1+1))/3   1 +…

Q: For all integers n> 0, 32n – 1 is divisible by 8.

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Q: Answers

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Q: let n be an integer solution to the equation n2+an-b=0 (n>7) if the representation of a in base n is…

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Q: Question: Evaluate each following expressions a.) If x =0   evaluate 4x**2 + 5(9 +x) + x **5 b.)…

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Q: Evaluate the following. ||5-91-13+2||

A: Step 1: Step 2: Step 3: Step 4:

Q: Translate a of n=1/8(n-1) to a recursive formula

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