Find the third term of: E33-1)n+1 (z+3)2n (2п)! Σ n=D

Q: 6tan(α)+9=8

A: The given function is 6tanα+9=8. Solve the above equation as follows.

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: -11sin (z)dz -

A:

Q: Find the value of c if -226 Σ1+0 2 C = No decimal entries allowed.

A: summation (1+c)^-n from 2 to infinity converges only if |1+c|<1(1+c)^-n is a GP series. Use the…

Q: 12 Find the term of (a – 3b)" that has b in it.

A:

Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: By rearranging the formula (dk – t)“ = a² – n² | an expression for k is: k= d (a² – n?)ª – t k= d.…

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Q: Find the coefficients of a* in (6 – ½a)6 and kª in (3k – 21)¹2

A: We have to find the coefficients of a4 in 6 - 12a6 and k4 in 3k - 2l12 . Note that,       a - bn…

Q: During the winter, you program your home thermostat so that at midnight, the temperature is 55°.…

A: Provided graph is  The above graph illustrates home temperature, f(t), as a function of hours after…

Q: O Determine rand s so that, 3.

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Q: 00 (2n +1)" n2n n=1

A:

Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

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

A:

Q: prone 2 + 4 + 6 + + 2n = n(n+1). for every nz 2.

A:

Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

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Q: (A) I = and (B )I = . Find 2A D - BD O O O none of the above

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Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: (Vn)(n2 +n+ 17 is prime)

A: Since, you have posted multiple questions , I am doing the very question (ques 7)  according to our…

Q: Select all of the following that are equivalent to >(2) +> (3k + 1)? k=0 k=0 п+1 A. O) (3k + 3) k=0…

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Q: Find the term of (a – 2b)3 that has b in it. |

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Q: find: (m+I) m!

A:

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: find the coefficient of t8 in expansion of 2t(3+t)20

A:

Q: Show that (m) (2n 4n n

A: As n → ∞, By Striling approximation formula n! tends to  sqrt(2 pie n) (n/e)^n

Q: Use Gauss's trick to determine H(n)=1+5+9+13+...(4n-7)+(4n-3)+(4n+1) I got n(4n+2)/2 is this…

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Q: a)(6n2– 3n + 9) - (n² + 3n – 5) b) (15a – 3w + 7) – 2(2a – 9) + (3w – 15a)

A: a) Given:         6n2-3n+9-n2+3n-5       =6n2-3n+9-n2-3n+5 combine like terms…

Q: Give a combinatorial proof of the following identity: 2n (²2) n 2 +n². 2.

A: Prove the following identity.  2nc2=2nc2+n2

Q: find the 6th term of (4h-j)8

A: formula used is   tr+1=Crn(a)n-r(b)r  for  (4h-j)8, a=4h ,b=-j and n=8

Q: 8(c – 9) = 6(2c – 12) – 4c -

A:

Q: Show that if A and B are both n × n, then (a) det(AT BT ) = det(A) det(BT ); (b) det(AT BT ) =…

A: Given A and B are n×n matrix.

Q: If n(A U B)=96 and n(A)=n(B)=66, find n(A n B)

A: Here from the given information: