How would you represent the sum 3+7+11+15+ 19 with the sigma notation?. E(4k – 1) k=0 E(3+ 4k) k=1 (3+ 4k) k=0 E(k + 4) k=3 WI -WI

Q: 7 Evaluate the sum i(3i + 2) i=1

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Q: Evaluate the sum 8 Σk(2k +3) = k=1 Σκ(2k + 3). k = 1 (Simplify your answer.)

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Q: Using a binomial approach, find the sum S given by n+1 S="C₁ + "+¹C₁ + "+2² C₂+...+ "*C,

A: Here we can use the following formula to find the sum nCr+nCr+1=n+1Cr+1and nC0=1

Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: Find the sum. Σn=0 100 (-1)ne2n 32n (2n)!

A: Step 1:

Q: 100 Σ (3* + 2k - 1) k=1

A: ∑k=11003k+2k-1

Q: (QuestionID:T1Q2.4) What is the coefficient of 2° in the binomial expansion of (2² – 1)5 ? Choose…

A: What is the coefficient of x3 in the binomial expansion of (x2-1)5

Q: The fifth term in the sum 10 Σε k 3 k=3 is 83 53 63 73

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Q: Sp-3 2x If there are 23 terms in the expansion of ху then the value of p is

A: We will find out the required value of p.

Q: If you like mathematical puzzles or love algebra, try this! Otherwise, just trust that the…

A: It is given that the sample size is n.

Q: Write the sum without using sigma notation. n Σ(-1)² + 2x³² j = 1

A: Summation means  Putting j=1,2,3.......n

Q: Determine whether the series converges, and if so finds its sum. 1. Σ=(-3)* 7 2. Σ=1(−1)k−1, 6-1 1…

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Q: 44-16=n-21 What does n stand for?

A: If, a = x - b. Then, x= a + b.

Q: Find the sum. 120 2 (3n – 6) n= 1 The sum is

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Q: 3. Determine the sum 3. 42n+1 (a) 33n n=1 4.5n-1 ( b) Σ 32n+3 n=1

A: to find: Sum of the given series

Q: Find the sum. 5x 10 + 5x x² – 5x ||

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Q: και Σ(+1-143) (b) Evaluate the sum i=1

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Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

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Q: Σ nº +n+ 100

A: The solution is given as

Q: Find the flux of F(x, y, z) = xi+yj - zk outward through the shpere x² + y² + z² = 4. (Hint:…

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Q: n E(等 k+3 n2 1 k=1

A: Summation of series

Q: Which of the options below is a possible solution to the following summation expression E(t + 7)vt…

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Q: Choose all those that represent the sum 5+7+9+11+13+...+101. 101 Σκ k = 5 50 E (2K+ 1) j = 2 50 Σ…

A: We have to find the correct representation of the sum 5+7+9+11+13+⋯+101

Q: Σ-1(3-10n) i=1 '20 i31

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Q: Write the indicated term of each binomial expansion.

A: Given binomial expression is: m+n6 We have to find the 5th term of this binomial expression.

Q: paper 2 4. INDICES AND S 2007 N Q3 (i) Express 9x+1 as a power of 3. (ii) Express V272 as a power of…

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Q: 1. 34 Calculate the sum k-4 (k – 1)!

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Q: 12. * 2 points 50 ) is multiplied by 5? What is the product when ( 25 1 625 13. * 2 points Find the…

A: We will use the formula ab×ac = ab+c and abac = ab-c 12) We need to evaluate 505-2 multiplied by 5-2…

Q: Rewrite the summation by separating off the final term. n+1 Σ m(m + 1) = m = 1 ??? V m = 1 m(m + 1)…

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Q: 12 E (k + 2)(k + 5) k=1

A: Evaluate the sum    ∑k=112k+2k+5

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

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Q: n Find Σ(2-²k +3k²) in terms of n . k=5

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Q: The coefficient of x8y10 in the expansion of (x + y)18 is ___________.

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Q: Question 67 Find the sum (4z2 - 5z) + (2z° - z2 + 3z) A. 6z3 - 6z B. 6z - z2 - 2z C. 2z3 + 3z2 - 8z…

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Q: Prove n 2 2n 1 k = n k - 1 n k=1

A: Binomial Theorem: According to the binomial theorem, let x and y are any two numbers. Then it is…

Q: 6 Σ (-1)" n 1

A: Given,

Q: Evaluate the sum k(4k+5). 9 9 Σk(4k+5) = k=1 (Simplify your answer.)

A: