(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: 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: Construct the explicit formula of the sequence -12, 12, -12, 12, -12,...

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Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: 7 11 a, for 1,- '3'3

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Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Consider the sequence x + 3,x + 7,4x − 2,............. If the sequence is geometric, find x and…

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Q: 5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46.  Which of the following is the value…

A: Given problems  5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following…

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

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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 seventh term of the arithmetic progression x, x+y, x+2y,....

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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: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: Write the first five terms of the sequence defined recursively. a₁ = 5, ak+1 = 4(a-3) ak+1 a₁ az 33…

A: We will find the required.

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: Find the general of the sequence 8,8.5,9.0,9.5,...

A: Let general term of sequence an.