Justify whether it is true to say that the following are the nth terms of an AP. (i) 2n-3 (ii) 3n² + 5 (iii) 1 + n + n²

Q: 1. List the parts of the algebraic expression. 12 + 3y + 4x + 2y + 4 How mony terms are there? List…

A: We can find the coefficient and list them as below.

Q: Find all solutions to 2sín (20)-12=0 on the interval

A: Solve using basic of all silver tea cups graph for trigonometry quadrants .

Q: If x1=-1, X2=1, Xn=3X(n-1)-2X(n-2), Vn23. Find the general term Xn

A: The given recurrence relation is

Q: 1. Find the indicted term: an = (3n+ 2)²; a6

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Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

Q: CONSID ER THE FOLLOWING S ERIES (4x+8) n =0

A: Given the series ∑n=0∞-1n4x+8n4 (a) We have to find the series radius and interval of convergence To…

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

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Q: Marvin says that the dark circles below can’t represent 1/3  because there are 5 circles, and 5 is…

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Q: Now it is mentioned that R >> A. So we can also say that 2R >> A. Hence 2R + A× 2R.

A: If x≫y , then it can be said that the quantity x is significantly larger than the quantity y .

Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: (e) '+3 +5' + .+(2n – 1)' = n²(2n² – 1). [Hint: Separate the left-hand side of the identity

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Q: The value of x such that 8x+4, 6x - 2, 2x +7 will be consecutive terms in an AP is A. 2 В. 15 С.…

A: Given that  8x+4, 6x-2, 2x+7 will be consecutive terms of an AP. To find The value of x.

Q: 5 Suppose f(x)= )dr AV 4x-3 +C, for constants A and C, what is the value of A? 4x -3 Write the…

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Q: Find the first three terms from the expansion 1. (x+3y)^9 2. (x^2-5)^5

A: use the binomial theorem

Q: Solve the following equation for x. In 5x = In 6 X = (Type an integer or a simplified fraction.)

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Q: Find the 7th term of 2+ 2 Write the 5th term of (x + y)1º.

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Q: • Evaluate: 1) 2x? тоd (x2 - 1) 2) х4 тоd(x2 - 1) 3) х3 тоd (x? — 1) 4) 2x2 + x*тоd (x2 — 1) 5) 2х2…

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Q: Find the term of (a-2b)^13 that has b^3 in it.

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Q: Which of the following is not a proposítion? A 2x+5=4x+5 when x=0 B 55=4x+5 where x = 10 %3D y=4x+5…

A: The proposition in math is a statement which can not be decide whether it is true or not.

Q: By using the iterative formula Xn+1 and xo = O O 0.3652 O 1.3652 O2.6352 = 1.5, then the value of x5…

A: Find the value

Q: Given the explicit formula, find the first 5 terms. f(n) = 3"-1 %3D

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Q: The equation used to find the approximated values for x;: O None O x1= 1/2+1/2 x2 O x1= 1/2+ 1/3 x2…

A: Given set of equation,x1+2x2=2 →12x1-x2=1 →2

Q: For which positive numbers a is it true that ax >= 1+x for all x?

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Q: 14 For: 等,曾 3. 6. 27 3 5 7 5n 6. ... Find the explicit nth term.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Show that n(n + 1) 2x2 (x – 1)3 n=1 for [x| > 1 by differentiating the identity n=1 twice,…

A: Here is the solution of the given problem.

Q: If a_1=9a1​=9 and a_n=4a_{n-1}an​=4an−1​ then find the value of a_5a5

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Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 %3D %3D

A: We have to solve the given differential equation,(IVP).

Q: While proving (a*2(2a+1 is an integer for the case a = 6q +1 which of the following will be obtained…

A: We are given with a(a+1)(2a+1)6 We need to substitute a=6q+1

Q: 10) Which of the following shows the solution for n2 + 2n 2 24? A) 4十 -6-5-4-3-2-10 123456

A: The given inequality is n2+2n≥24

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: ( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

A: Given that c, x1, x2, ..., xn, y1, y2, ..., yn are 2n+1 given numbers.

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

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Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: (-1)" (n+ 2) 2n+1(n + 1) Compute the exact value of

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Q: In the expansion of (2r + 1)", the coefficient of the term in x is 40n, where n e positive integers.…

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Q: For xn = 5n² + 9n³ + 1, an = en = n², prove or disprove: an = O(an) (n → 0)?

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Q: In an AP the sum of first n terms is (3n2 /2) + (5n/2) . Find its 25th term

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Q: 2n? - п +1 (а) а, — In 2n2 + 10n – 7 on

A: Explanation of the solution is given below....

Q: Two consecutive terms in the expansion of (a + 2b)20 are equal. Find these terms.

A: Given:(a+2b)20 The general r+1 th term in the above expansion can be written as, Tr+1=20Cra20-r(2b)r…

Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

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Q: 11) Which of the following shows the solution for n2- 2n < 24? 十十 A) 6-54-3-2-10123456 + +++++++…

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Q: If the statement is true, prove. If the statement is false, disprove. 1 + 2" > 3n for all n E Z

A: False.  take n =2

Q: Solve the recursion by substitution for  T(n)=2T(n/4)+n2 where T(1) =1

A: To solve by putting T(1)=1

Q: 11. Answer by TRUE of FALSE each of the statements: (i) 4x³ + x² ln x¹ = O(x³). (ii) x³ + 4x + 15 =…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: 2. (Applies to Standards D2(c), D8(a) and D9(a)) At pressure Patmosphcres, a certain fraction f of a…

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Q: η ΣΧΥ-Σ ΧΣ Υ %3D Ixy 2 /ηΣΧ (ΣX)?][ ηΣΥ-(ΣΥ ] Write out this formula

A: Correlation coefficient is the measure used to find out the relation between two variables. It could…