Find the sum of 73 75 + [ 2ㅈ 11.3 13.5 ㅈㄱ 15.7 + + (-1) 7- 2n+1 12n-1 (2n+1)

Q: (b) For all integers n, if n² is odd, then n is also odd.

A: Given statement: For all integers, if n2 is odd, then n is also odd. Prove this statement by…

Q: Evaluate 10!/4!(10-4) Type an integer or a simplified fraction

A: It is needed to evaluated 10!/4!(10-4)!.

Q: Determine if the sequence converges or diverges. If the sequence converges, find its limit: en + 1…

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Q: Find a formula for 1/2+1/4+1/8+.+ 1/2h by examining the values of this expression for small values…

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Q: 12sin(45) does not equal 12cos(45)

A: 12 cos(45°) and 12 sin(45°) are equal because  cos(45°) = sin(45°) = 1/√2

Q: Use casting out nines to see if these calculations may have an error. If incorrect, give the correct…

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Q: What is the summation notation of this expanded form: A. (1/3)+(3/5)+(5/7)+(7/9) B. 1-4+9-16+25

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Q: What is the value of a after running the following R code? a <- 1:5 a <- (3*sum (a)) + 1

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Q: Find the sum of coefficients in the expansion (2x+1)^3 (x+2y)^4. 2610 2817 2187 2160

A: We can solve the problem by expanding this and adding them

Q: 8. 2 (3a,+1 – 4b+1) 86. | n=1

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Q: find the nth term

A: Step 1: Step 2: Step 3: Step 4:

Q: n (x - 1)" The sixth term of the expansion of x is 1287 8 X 3125 . Determine n.

A: Let us consider the expression a+bn. The binomial expansion of the given expression is , a+bn=C0n…

Q: Evaluate [14*15*0.3](6)

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Q: What is the coefficient of 8 in the expansion of (x + 1)¹³ + x²(x + 2) ¹6 ? 13

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Q: 6. Algebraically find the sum 63 – 70 + 78 – 85 + 93 – 100 + + 2268 ...

A: Given: A finite series 63-70+78-85+93-100+...+2268 It can be observed that the series is of the form…

Q: Evaluate the SUM A5/4(1-(1/5)^26) = B 4/5(1+11/5)^2) 125 25/4(1-5^25) R=-25 5k

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Q: Write the first 3 terms of the expansion of (3x - ) – 2)" and simplify |

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Q: Find an expression, in terms of n for the coefficient of x in the expansion (1+4x) + (1+4x)² +…

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Q: True or False: The summation 18+28+...+n8 is a polynomial of n of degree 8.

A: Given that the summation 18+28+...+n8. The objective is to check the statement " the summation…

Q: 3[2+4(5+2*3)]

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Q: We are given the continued fraction expansion for the square root of 89: [9; 2, 3, 3, 2, 18, 2, 3,…

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Q: The second, third and fourth terms in the binomial expansion (x + a)" are 240, 720 and 1080,…

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Q: If n is a positive integer, then 2 n - [a] »] + [a + ²] + [a + ² ] -- - + [a + ¹ = ¹] - =] = n n =…

A: Given: nis a positive integer. To Prove: α+α+1n+α+2n . . . +α+n-1n=nα

Q: um 1+4+7+..

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Q: 1 2/7 * (-2 2/3) / 1 3/7 + 1 1/3

A: We will reduce the fractions of possible and then perform the required addition, multiplication and…

Q: True or False. Briefly explain why.  {−13, −6, −3, 1, 10} is a complete residue system modulo 5.

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Q: Calculate a) 1 2/7 x (-2  2/3) ÷ 13/7 + 11/3  b)In a GP the 6th term is 972 and the 3rd term is 36.…

A: Part (a) Given expression is 127×-223137+113

Q: 4- Calculate the sum of 1.011 x 2-1 and -1.101 x 2-2 by hand. Assume you have 3 digits binary…

A: Solution

Q: 5. Construct a rearrangement of E = 1-+-1+.. whose sum is 5.

A: Solution is here

Q: How many multiples of 5 are there between 199 and 1,198? Hint: an = a₁ + d(n − 1), where a₁ is the…

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