N(N+1) N(N+1)(2N+1) N (N+1)? Use linearity and the formulas Ej = E = and Σ"- to evaluate the sum. 4 6. 46 Eju – 1) j=0 (Use symbolic notation and fractions where needed.) 46 Eji - 1) = j=0

Q: 12 +18* 8* + 27* %3|

A: The given equation is 12x+18x8x+27x=67. Solve the above equation by hit and error method as follows.…

Q: (* - 1)" 16. 2n n=1

A: 16.∑n=1∞(x-1)n2n

Q: 7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

A: Given: NA=7, NB=3, NA∪B=10 We know that if NA+NB=NA∪B then there is no common element exist in Aand…

Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

A:

Q: あ。(12イ45 bt-ef e

A: 2x+53ax-53

Q: Use the permutation and combination formulas to prove the following. +k – 1) (n + k – 1 (b). V k, n…

A: We have to  prove given formula using peemutation and combination

Q: (ii) Obtain the canonical product of sum expression of Y(A,B,C) = (A + bar B)(B + C)(A + bar C)

A:

Q: 35 + 5 (S-5)(5+)

A:

Q: Write out expressions for (i) (ii) "P. (iii) (iv) 20P,

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

A:

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

A:

Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

A:

Q: Simplify the expression Y = bar((AB + bar C) (bar (A + B) + C)) Obtain the canonical product of sum…

A:

Q: 1*10+8*1=?

A: the given expression is: we have to find the value of the given expression.

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

A:

Q: .72+40

A:

Q: 3*+1-4+ 3* 01

A:

Q: en = (-1)n-1((n+1)/n); n = 1, 2, 3, ... What are the first eight terms?

A:

Q: 1a.) 0x**3  + 9x**3  1b.) 4X**3  - 9x**5  1c.) (3x   + 1x**3) + 2(9x**3 +(-3x)) 1d.)…

A: 1a.) 0x**3  + 9x**3 1b.) 4X**3  - 9x**5 1c.) (3x   + 1x**3) + 2(9x**3 +(-3x))1d.)…

Q: an =4(n+3)!  write first four terms

A: Using given sequence ,

Q: 1 (-i)ū

A:

Q: Mrs. Hill asked her students to express the sum 1+ 3+ 5+ 7+9+...+ 39 using sigma notation. Four…

A: Since , the given sum is 1+3+5+7...+39 So its a alternate odd numbers sequence with end number is…

Q: What is the first five terms of an = 2(3)n ?

A:

Q: Example 18. Find the Fourier sine series in T:/3, for 0<x<T/3, f(x)= 0, for /3<x<2r/3, -7/3, for…

A: