(-1)*+1 1 = 4 ) 2n – 1 n=1 = 4 -+- + - 8.

Q: 2. * The sum of 8n-3n+10 and -3n? -6n 1) 5n-9n+3 2) 5n -3n- 17 3) -11п*-9п - 17 4) -11n- 3n +3

A: To find the sum of 8n^2-3n+10 and -3n^3-6n-7.

Q: 3Fn - F n-2= Fn+2 for n>3

A:

Q: 2- -4 -3 -2 -1 2 5 X-axi 이 3. 4 6. -34 1. 1. e-A

A: Given line passing through the points 0, -2 & 4, 0.

Q: n2 – n 1 2n² + n الم نابعة زختبر تقارب -

A:

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

A: given sequence  -1n+1x2n-12n-1!

Q: 27. * Σ n(n - 1)anan-2. n=2 + n=0 and

A:

Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: * Q1 1 |1 2 31 -1 -1 0 21 3 -3 11 14 5 -71 -41 -7] -14] 2. -11 3. 5 -7 5] 5. 1 2 3 1. 4.

A:

Q: (-1)"+1(2n + 3) n + 10 n=0 8.

A: ∑n=0∞ -1n+12n+3n+10 Apply Series Divergence Test If limn→∞an≠0 then ∑an diverges limn→∞…

Q: 0. P = 1 4 ... (1) P² = 1 1 -.- 16 4 --- --- (2) P4 1 1 --- 256 16

A:

Q: (-1)**'n! 1-3-5..(2n+1) n+1

A: The objective is to find whether the series is convergent or divergent.

Q: Identify the two series that are the same.

A: In order identify the same series, just write the few terms of the gives series as follows. (a)…

Q: Find Following 8 the (1) 3-2i / -1+i 20 (2) 3 -4 2 4+3? (3) 3 ¿30 -¿19

A: We have to simplify the given equations. The equations are 1. 3-2i-1+i2. 5+5i3-4i+204+3i3.…

Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

A:

Q: 2"-1 for positive integers n. 2n

A:

Q: » (6)- (:) + (2) ---» :) - (3) n n +(-1)" (" ). = 0. с) + 3 n +...+n = n2"-1.

A:

Q: Prove 2+4+8...+2n=2n+1-2

A:

Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

A:

Q: D If/2ty -P and 25=n(ytoc) n-T s in terms of n and P express only MS

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

Q: 4 Σ n2 +4n +3 - 9-n+24n+1

A: Separate the sum.

Q: Find (2n – 3)(n + 4). * О Зn +1 О 2n^2 + 5n -12 О 2n^2- 12 О 2n^2 + 11п +1 Simplify: 2a^2(5а- 6) -…

A:

Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

A: The given equation is,

Q: (-1)"(2n–1) Σ n(n– 1) n=2 IM:

A:

Q: 4. 8х - Зу (-) -4x + 8y. 5. 6rs - 7bc (-) 9rs – 7bc 5ху - 9cs (-)-3xy + cs 6.

A:

Q: 10 8. 2- -3 -2 -1 1 -4 -6 -8- -10 Co 64 2N

A:

Q: 2n+2 – 3" Σ - 2. Determine 6n+1 n=0

A: To find: ∑n=0∞2n+2-3n6n+1

Q: 3n + 14 = -4

A: To solve the given equation for 'n'.3n+14=-4

Q: For n ≥ 2, let an=5n/n2-2 Determine for which n, |an|<1

A: Use the given inequality for an and find the quadratic equation for n and solve

Q: 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

A: Given that 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

Q: Solve for n if nEN: (4+8+12+ ... +4(n-1)) + (2+4.5+7+. .. 4+5n -%3D126.5 2

A: Sum of n natural numbers is n(n+1)/2.

Q: how many positive integers n satisfy 22-5n>-3?

A: 22-5n&gt;-3

Q: How can the sum of k * (n choose k) = n(2 to the power of n-1) be proven akgebraically ?

A: Step 1: We have to prove that, Now by the binomial theorem, Now, differentiating the both sides of…

Q: -1.0 1 3. 5 6 -4-3-2 1 23 4 56 -2 -3- -4 -5 -61 (a) (b) a 654 32 6. 543N-

A: . If a vertical line is moved across the graph and, at any time, touches the graph at only one…

Q: -)) In how many days does 7 masters paint the wall painted by 5 masters in 14 days

A:

Q: 6 - 22n-1 5n+1 n=1 =D1

A: Given: ∑n=1∞6×22n-15n+1 A ∑n=1∞fn series is convergent if, fn+1fn&lt;1 Check the convergence of the…

Q: -2 3 0 71 -1 0 0 0 3 0 0 -1 3 0 00 5 3 2 5 3 0 0 If A = -3 4 5 6 -

A:

Q: 5. Between z=-1.98 and z = -0.03

A:

Q: -3 4 (a) o 5 8 -5 (b) 0 4 -9 3 1. 7 -2 0 -8 -3 6 (c) 3 9. -3 7. (d) - - - r o0-

A: forming the linear equations from the matrix we have  x-3y+4z=7y+2z=2z=5 substituting the value of z…

Q: (-1)".n -1)".n 5n+2

A:

Q: 13) +2=-1 x-6 14) -13 = 15) -9- 6n = 93 16) 0= *+ 7 1 2.

A:

Q: Since n.n=1 and n-n2=(2/2)/5 then n3 +3/5 %3D

A:

Q: 1. Σ n! n=0 (-1)"x²n+1 2. ) 2n + 1 n=0 (-1)"x2n 3.) (2n)! n=0 x2n+1 4. (-1)"

A:

Q: 7 7n2 –n – 2 > 4n2 4n 4 — Зп + 1

A: We have to prove that 7n2-n-24n4-3n+1&lt;74n2. For this, we will consider the terms 7n2-n-2 and…

Q: 57 4- 3- 2- 1- -7 -6 -5 -4 -3 -2 -i 9 i e 3 4 5 6 7 1- -3 -4- -5t

A: Since you have posted multiple questions but according to guidelines, we will solve the first…

Q: 4 Given that (5A ) -3 -17 52

A:

Q: 2. 4s+32 s²-16

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.