Without writing out the terms, I can see that (-1)²" in (-1)2n an causes the terms to alternate in sign. 3n

Q: TT 21/3 TT/3 -2 -1 -TT/3 TT -5 -IT

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Q: 1-i Get the result of the expression (1 + i)2+i

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Q: Find the explicit formula. 11) 40, 50, 60, 70, ... 12) -9, -109, –209, –309, ... A) a = 40 + 10n a =…

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Q: (Alg 2) - Green pd. (!8+L-) +(! - The answer is (Simplify your answer. Type your answer in the

A:

Q: Verify that A (B+ C) = AB + AC if A = ; 9], 8 = (} -2 01 -2 12 3- 1 31

A: Given: A=1023……1B=-2013……2C=-2102……3   To verify: AB+C=AB+AC

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

A: Solution : We have given the nth terms of a series and we have to find out that they are nth terms…

Q: Number theory

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Q: What is the a+ib form of: In(7 + 2i) - In(3 − 6i) + e - T 3√√/343+i

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Q: If the expression 2x¯iy81x²y² is written in the form ax"yº, then what is the product of a, b and c?

A: SOLUTION-

Q: In studying planetary​ motion, the expression (GmM)(mr)^−1(r^−2) arises. Simplify this expression.

A: We know that (x^m)*(x^n)=x^(m+n) and x^0=1. Using this , we can simplify the given expression.

Q: Suppose U(50) is generated by 3. Find |31|.

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

Q: HoW: Find xcn) if: ns: KCn)=- 80 (ご+ 80(+)-52の()+en(ょ %3D + 12n²

A: Using partial fraction of the given expression.

Q: Which of the following is the smallest, positive value of n for which i⁵·iⁿ is equal to - i? *

A: We can use the concept of complex analysis.

Q: ) First, rewrite the expression by combining like termns. 21r 7 9r- 8- 2r

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Q: Considering only the values of B for which csc-Bcos (2B) is defined, which of the following…

A: We need to find the equivalent for the given expression.

Q: If B = 3n – 10 and C = n² – 6n – 6, - - find an expression that equals 2B – 3C in standard form.

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Q: Find Re((5+6i)(3-4i)). O -21 О 39 O39 O 2

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Q: Which of the following expressions is equivalent to a(12a – 6b – 6a +96) ? A 6ab

A: we have to find expression equivalent to 23a(12a-6b-6a+9b)

Q: Evaluate In (2+3i).

A:

Q: Find the explicit formula. 5) –33, –29, –25, -21, .. А) а %3D-37 + 4n B) а %3D-31 + 2n С) а %3-33 +…

A: nth  term of arithmetic progression is given by, an = a1 + (n - 1)d, where a1 is the first term and…

Q: Simplify. ab +a2+62-7ab +5a2+20 The simplified expression is

A: simplying  the expression will give an decreasing order of power.

Q: Find the exact value of 1sin (14°) 2 + 1cos (4°)2 - 3.

A: Consider the given expression: sin14°2+cos14°2−3Use the trigonometric identity:sin2θ+cos2θ=1

Q: in NG 3.

A:

Q: The solution of 53¤+9 – 252a+3 is

A: Equations of these types can be solved using logarithms. We use the logarithmic property, lnxn=nlnx…

Q: In Pascal's triangle, the term tnr is equal to the sum of tn-1,r-1 and a) tn.r-1 Ob) tnt1,r c).…

A:

Q: (#). 472 a3. k T2 =

A: Given: The objective is to prove the Kepler's Third law  T2=4π2ka3

Q: Suppose that x In(A) and y = In(B). Write the following expressions in terms of x and y (so you…

A: We are solving the first three subparts and for the next subparts questions post the question again…

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: B 11 40° A C

A: In the given figure BC=11 and ∠A=40 We have to find the side AB and AC

Q: 3. Evaluate the following: (1+7i) а. 2i(4-i) 2230° b. 12-120° c (te#) (2e*) d. (22175°)(6450°) с.…

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Q: Given 0≤θ<2π , solve 2tan⁡ θ−6=0

A: 2tan(θ) - 6=0 2tan(θ)=6 tan(θ)=3 θ=arctan(3) + n*π  θ=1.10714+n*π  (in the interval [0,2π])…

Q: (d) Show that 1 2 cot an 77 n2 - a2 and (-1)" - q²' CSC CT n2

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Q: Find simpler expressions for the quantities eln 7.2

A: Given expression: eln7.2 We know that  exln(a)=ax Then, eln7.2=e1ln7.2eln7.2=7.21eln7.2=7.2

Q: (2-20 OA =4096i O B. =-4096 OC=256 O D. =4096

A: Given expression, 2-2i8

Q: evaluate each of the algebraic expressions for the given values of the variables. 3n2 - 4 - 4n2 + 9…

A: 3n2 - 4 - 4n2 + 9 for n = 7

Q: 22= 6898 65 %3D 1+/0013 Is +zd

A:

Q: b. Simplify the following expression 1. In 2. eln2+3inx 3. ezr+inx 4. e In(x+1) 5.In e-13.

A: We have to use properties of logarithm and exponential functions.

Q: 9. 2n (2) for for n ≥ 0

A: Solution

Q: If 8m = 11n, then = ?

A:

Q: Evaluate In(2/3+ 2i)

A: Given - ln23 + 2i To find - Evaluate ln23 + 2i

Q: Copy the problem and answer it on your answer sheets. п(3п-1) Prove 1+ 4 + 7 + ..+ (3n – 2) = 2

A: Given statement is: 1+4+7+...+3n-2=n3n-12

Q: Given that a1= -15 and d=-4, find the first six terms

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Q: Is ||ū1 + · · · + im|| < ||1i|| + · ·. + ||ūn||? Why or why not'

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Q: Combine like terms to create an equivalent expressio 1.3b + 7.8 – 3.26 -

A: From the given problem: 1.3b+7.8-3.2b The like terms are: 1.3b,-3.2b.

Q: Is 2n? + 12n + 18 equivalent to (2n + 6) (n + 3)? True False

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: if csC a = 4 Then sec ( 90 - a) O 1/4 O 16 O 4 O - 4

A: On solving , we get

Q: show that 12 2. de = In (7+4VJ) 22 - 88

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Q: Gind The lengTh and divection of AXB BXA if: A=2i , B--3j

A: Note: " Since you have posted multiple questions. As per our guidelines we are supposed to solve…