Which of the sequences {a,} converge and which diverge: n+(-1)" 1. a=

Q: Find the sum of the first 6 terms of the sequence defined by an = -4 (2)^-¹ for n ≥ 1. -

A:

Q: 25) Show that the sequence (2/7) n! 10") +∞ n=1 is eventually strictly decreasi

A: The given sequence is: {10nn!}n=1+∞ which is to be shown as decreasing. First, we shall know the…

Q: A sequence {a„}1 satisfies a1 = 1, a2 = 1 and 6 an = max {an-1, an-2} – min {an-1, an-2} for n > 3.…

A:

Q: Find the limit of the sequence: 3n² + 3n+6 ап 7n² + 7n +9

A: Step 1: The limit of a sequence is the value that the terms of the sequence approach as the index n…

Q: 22: Establish the divergence of the sequence x, =(-1)"

A:

Q: Q8) The sequence 5 +(-1)" an' a) converges to 1 b) converges to c) converges to 0 d) diverges |5

A: an = 5+(-1)n5      = ∑n=1∞5+(-1)n5 =∞ ∑n=1∞5+(-1)n5 diverges to ∞

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: Write the first five terms of each sequence. Determine whether each sequence is arithmetic,…

A: We have to find

Q: a1=1 , an+1=4-an , n is greater than or equal to 1 is the sequence convergent or divergent?  what if…

A: Given that a1=1 and an+1=4-an, n≥1 Write down the first few terms of the sequence: a1=1, Substitute…

Q: quence (x₂) satisfying A sequence 1 0≤x≤. n where Σ(-1).x, diverges.

A: Given that the sequence xn satisfying 0≤xn≤1n. We have to determine whether the series ∑-1nxn…

Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: 1- 5: Express the following as sequence of the indicated terms: 1 Ea, +- 1. 2' 10 а, 'i+1 2. 3.

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Q1/ Isthe sequence {a,} converge ? († - ) -

A: If a sequence converges to some limit, then it is convergent; otherwise it is divergent.

Q: 21 Answer: If t=3.5n +4.5, find t₁, t t₁ = 8,1₁0 39.5 = t -t H n+1 n 85 is ▾ GRADE ANSWER = tt 10'…

A:

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are…

A:

Q: DECIDE WHETHER THE GIVEN SEQUENCE OR SERIES IS CONVERGENT OR DIVERGENT. IF CONVERGENT, ENTER THE…

A:

Q: 3. Express the generating function of the sequence (c.) in closed form where = (r+1) 3r+¹. (r+2) for…

A: Given : cr = r + 1·3r + 1·r + 2   To find : The generating function of the sequence cr in closed…

Q: Q1:Which of the sequences converge, and which diverge? 1- 6n an = 1+ 2n 1 3. an = (1+ (0.2) 1. 2. an…

A: 1.) an = (1 - 6n)/(1 + 2n) converges to (-6)/2 = -3. 2.) an = n2/en converges to 0.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.