(a) The 1s* term of a geometric progression is 4 and the 6h term is 128. Determine the 8th and 11th terms. (b) Which term of the series 3, 9, 27,.. is 59049? 1.1.11 (c) Given the following sequence: 1++++++ 4 5 Identify if the sequence converges or 2 3 diverges (use comparison test). (d) The seventh term of arithmetic progression is 29 and the eleventh term is 54. Determine: (i) The sixteenth term. (ii) The sum of the first 20 terms.

Q: 2. Find the first 4 terms and the 40th term of the arithmetic sequence: = 67.3 – 4.7n - a1 = a2 = az…

A: To find the terms of the given arithmetic sequence, substitute n=1,2,3,....  in the given nth term…

Q: The first five terms of the sequence  are: 5,

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Q: Choose the sequence that is written in increasing order. Select one: -3 -18 9 23 -1 8-3 23 2 -3 8 2…

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Q: I need to find the sequence {1/2, -1/3, 1/8, -1/30,...}

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Q: Which term of the arithmetic sequence {24, 29, 34, 39, ... } is 144? It is the th term.

A: Given: The given arithmetic sequence = 24, 29, 34, 39, ..... Formula used: an = a + (n-1)d Where,…

Q: 2a. Find a formula for the nth term of the arithmetic sequence below. 1,_,4, , 7, ...

A: Solve by formula

Q: (ii) Find the sum of the first eight terms of the sequenc 1.1. 8 4 1....

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Q: find the 9th term geometric sequence a1=5; r=6 7th term a1=10; r=2 10th term a1=3; r=7

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3 ) Determine the commnon difference, the fifth term, the nth term, and the 100th term of the…

A: An arithmetic sequence can be defined by an = a1+n-1·d where an is the nth term in the sequence, a1…

Q: Find the first 10 terms of the sequence an Its 9th term is Its 10th term is 1 an-1 and a₁ = 18.

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Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: 4. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression. 5. Find…

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: An arithmetic sequence has uj = 40, u2 = 32, u3 324. |(a) Find the common difference, d. (b) Find…

A: Given that  An arithmetic sequence has u1=40,u2=32 and u3=24.

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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Q: Find a 8 of a geometric sequence if the first few terms of the sequence are given by - 1 , 3 , - 9 ,…

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Q: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: 4. Let 0 ‡ b, c E Rn and define A = be E Rnxn. Show that (a) R(A) = span{b}, (b) N(A) = {x ≤ R" |…

A: (a) We are given that A = bcT                    where, c ∈ Rn     So, R(A) = { Ax : x ∈ Rn×1 }…

Q: Consider the sequence-1,4,9,14, ... (a) Find the next 5 terms in the sequence and then graph the…

A: Solve the following