Σ (k+ 1) (k + 2) k=1

Q: (1+x(2)- 2x(2)(1 + x)(2x) (1 +x)*

A: Apply BODMAS rule, to simplify the given expression. First, remove the parenthesis and then…

Q: m-1 * If Σ (8k + 5) = 4m² + m − 5, then which of the following is equal to the - k=1 simplification…

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Q: 10 Show that the function -x+px-g is negative for all real values of x provided that q is greater…

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Q: P(n) assert n(n+ 1)(2n + 1) j=1 (a) Verify that P(3) is true (b) Express P(k). (c) Express P(k + 1).

A: Consider the provided question, (a) We have to verify that P(3) is true. Substitute n = 3 in…

Q: 2k + 1 k(k +1) k=1

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Q: 5s L |(s – 2)

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Q: (2n)! – (2n + 1)! (2n)!

A: It is required to find out , 2n! - 2n+1!2n!  For this we use factorial properties.

Q: 1-у Evaluate Apxp(x + )s-Y T

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Q: (2+i)(1+3i) – 2+ 4i= 3i O 4+2i O 3+i O 3-i0

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Q: a+1 n+2 n+5

A: An  Infinite is defined as the sum of the values in an infinite sequence of numbers. Assume the…

Q: (2n)2k B2k 3(2k) = (-1)k-1 2(2k!)

A: We will use the knowledge of basic theory concerning the Riemann zeta function and the Bernoulli…

Q: If P (n) is the statement "n + n" is even", and if P(r) is true, then prove P (r + 1) is true.

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Q: 15 Σ (3k +2) K=11   (Find Sn)

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Q: (d) (n-r+1)! (n - r - 1)! *

A: According to the given information in this questionwe need to simplify the given form

Q: n Find I (1) n=2

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Q: P(x) = 5 x + 13 x5 − 7 x6 − 2 x2     If P is written in descending order, what would be the final…

A: given polynomial is                                               P(x)=5x+13x5-7x6-2x2 P is written…

Q: Find the equations of the asymptotes of R.

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Q: nere to search

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Q: h(n) = 4n – 1 g (n) = n² - n Find (h o g) (4n)

A: Consider the functions  h(n)=4n-1g(n)=n2-n

Q: 1 Σ (-3)²+" (n² + 1) -(4x – 12)" n n=0

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Q: Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

A: The given function is                               sβ=q-2+q1+4q-1qβ122q-1 where β>0 and q>3.…

Q: 2x - 10 K x+ 1

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Q: 3- (a) Complete k (-1)k 2 k! (k +n+ 1)! 2k+n = -h(x) k=1

A: First I have written the Bessele's function as in an infinite series form then by making a…

Q: ( 9x2 4 if a 2 Let p(x) = 4x + 8 if a < 2 Compute the following values. (a) p(1) = (b) p(2)

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Q: (b) Show that 1 11 2 k(k + 2)(k + 4) 96 k=1

A: Given series is ∑k=1∞1kk+2k+4

Q: ○〇 k + 1 -1) 43k k=1

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Q: If E[X 4 and Var(X) 1, then E(1 + 5X)²] - and Var(2 + 4X)

A: GivenE(X)=4Var(X)=1

Q: n+2n Show that represents an integer Vn EN.

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Q: Evaluate: Σ 1 (k − 2)(k-1)

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Given w(x) 5a +6 and z(x) = 3x – 4, evaluate the following. %3D %3D (a) (w o z)( – 1) = %3D (b) (z o…

A: Consider the given information. wx=5x+6zx=3x2−4 Find the composition of the function as,…

Q: 1 k(k + 1) k=1

A: It is a Telescoping series so sum can be find simple way

Q: 198 k=0 (4k)! (²k+¹) 2k 28k (2k)! (2k + 1)! 1 13 + 1 15

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: 1 Σ (k + 2)(k + 3) k =1

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Q: 1-x+2x²–1 r° dx 1(r²–1)² xp-

A: Given