For n 2 3, the series 2+4+6+..+ 4(n) can be equivalent to .. ...... OA. n? +3 B. n +1 C. 3n2 + 4 OD. n"

Q: 2 Find the sum of a 7+9+11+13+ to 10 terms b

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 10 The sum of the series 5 – 3 40 + ... is 27 20 9. Select one: а. b. С. d.

A: Given s=5-(10/3)+(20/9)-(40/27)+.......

Q: * 24i(i – 1) Use summation formulas to rewrite the expression E n7 4 a. 1 n5 n° 8 b. n° 4 4 C. 4 n 8…

A: Given Data: Expression: ∑i=1n24ii-1n7 The summation formula for i is, ∑i=1ni=12nn+1 The summation…

Q: п(n + 1)(n + 2) 4. If n e N, then 1.2+2.3+3·4+4·5+...+n(n +1) = 3

A:

Q: The formula for the Stirling number of second kind, the number of partitions of n objects into n-4…

A: The formula of Stirling's number for second kind for the number of partitions of n objects into n-4…

Q: There are 8 people in a room, whose ages are between 10 and 40. Show that we can always find two…

A: Pigeonhole principle Here, we don't know the ages of 8 people, but we know the range of sum of their…

Q: Find the sum 1 C|~ SA 3 π² 4² (21) + 44 (41) 4 (61) +

A:

Q: Find a reduction formula for ∫sinnxdx, n≥2.

A:

Q: . When N = 701 will the resulting series be an overestimate, or an underestimate of the exact value…

A:

Q: use the Principle of Mathematical Induction to show that the given statement is true for all natural…

A: To Prove: 12+22+32+...+n2=nn+12n+16

Q: Given *,=4, x,=7, x,=5, x,=9, x,=1I, x,=2, and x,=6 , evaluate the summation: 2*, i=1 A 34 B. 38 40…

A: Given,x1=4 , x2=7 , x3=5 , x4=9 , x5=11 , x6=2 , x7=6

Q: The first four nonzero terms of the series of 開51 A. 1+r+r + B. 1--1- 128 * C. 1-r+2² -r 1024 1 D.…

A: We will use the knowledge of Taylor series expansion and Taylor polynomials to find the first 4…

Q: o (n) t (n), for n= 4568 68662 68660 68640 68642

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Q: Show that if 5 divides n2 with remainder 4, 5 divides 3n3 with remainder 2.

A: Given that 5 divides n2 5 n25 n×n5 n5 n3 As it gives the remainder 4 on dividing by 5. Therefore it…

Q: 3. Determine the sum 3. 42n+1 (a) 33n n=1 4.5n-1 ( b) Σ 32n+3 n=1

A: to find: Sum of the given series

Q: Find Tay lar Series of sterns rz

A: Consider the function f(x) with x0The Taylor Series is f(x)=∑k=0∞fk(a)k!(x-a)k

Q: Q6. Let n be n₁ + N₂ + N3 +・・・+nt, where each n; is a positive integer. Use the definition of…

A:

Q: In the Powerball Lottery, 5 different numbers from 1 to 69 are selected. The order they’re selected…

A: There are  different numbers from  to  that are selected in the Powerball lottery having the order…

Q: You should have observed that the general pattern using the fractional format is: 2n 8642 I(n) = 2…

A: We have given a series I(n)We have to observe and rewrite in general pattern

Q: 1(1!) + 2(2!) + ..+ n(n!) = (n + 1)! – 1. %3D 3.

A: (3) The given expression in the LHS can be written in the form of series as, ∑n=1nnn! Now solve the…

Q: 8] n=1 1 5n2 + 5n

A: To Find: The sum ∑n=1∞15n2+5n

Q: n(n+1) for all n EN, • Given that 1+ 2 +3+..+n = the sum 70 + 71+72 + .+ 100 = 2

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Q: a) Find the value of p such that the series 00 E(-12n+1 n10p -1 is a 10-series n=4 Answer: p = 1 b)…

A:

Q: (1+i)²n n! n=0 evaluate

A: The function ex has the expansion ex=∑n=0∞xnn!. The complex number eix=cos x+i sin x.  This is…

Q: E If the mth term of an A.P. is 1 and the nth term is 1 1 show that the sum of mn terms is ( mn +1).

A: