Find an increasing subsequence of maximum length and a decreasing subsequence of maximum length in the sequence: 14, 2, 8, 3, 25, 15, 10, 20, 9, 4.

Q: -2,-7,-12,.

A: Here we have, -2, -7, -12, .................. ⇒a1=-2, a2=-7, a3=-12, ......... The given series is…

Q: Find the 7th term in the sequence -4, –8, –16, . . .

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Q: Find the general form of the sequence (10,50, 250, 1250, ...).

A: Explained below

Q: Find the nth term of a sequence whose first several terms are given. 6, 12, 18, 24, . .

A: Given Seies, 6,12,18,24.........

Q: Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?

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Q: Find the 7th term in the sequence 2, 8, 32, 128, . ..

A: See attached file for a step by step explanation.

Q: What is the geometric sequence of __,21,63,189,__

A: We know that a geometric sequence is a sequence of non-zero numbers where each term after the first…

Q: Find OF the Formula For the nth term Sequence: 0, 1,3, 6, 10,15,21,28,36, 45,55, 66,78,91,105,...

A: now in this question, we have to find the nth term of the sequence using given data.

Q: Identify the closed form for the sequence: 1,0, 3, 2, 5, 4, 7, 6, .... (Note: The answer should not…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Determine if the sequence converges or diverges. -30,-14,-6,-2,0,…

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Q: Find the number of terms in the finite arithmetic sequence. 2, 6, 10, 94

A: Given sequence is    The sequence is arithmetic sequence with first term a=2 and common difference…

Q: 2. Find the nth term of the sequences below: а. 3, -5, 7,- 9, 11, b. О, 2, 6, 12, 20, . с. 99, 199,…

A: Topic:- series  Note:- as per our guideline if more than three subparts of a question uploaded than…

Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: List the first five terms of the sequence whose 2.. nth term is 3" – 2". Let n = 0, 1, - Saved

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Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

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Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: Find the 93rd term of the arithmetic sequence -6, 13, 32, ...−6,13,32,...

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Q: The sequence {}, is decreasing. Select one: O True O False

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Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: me sequence whose nth term is

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Q: Find an increasing subsequence of maximal length and a decreasing subsequence of maximal length in…

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Q: Construct a difference table to predict the next term of each sequence. 9, 4, 3, 12, 37, 84, ...

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Q: Write the first 5 terms of the sequence whose first term and common difference are 5x and -2y,…

A: Our Aim is to write the first 5 terms of the sequence whose first termand common difference are 5x…

Q: Use a difference table to predict the next term in the sequence - 4, - 1, 14, 47, 104, 191, 314,

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Q: aj = -1 and an V(- 2an-1)² + 1 for n > 2

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Q: Identify the 4th term of the sequence.

A: A sequence is a set of numbers that has a particular order or obeys a general form. As per the…

Q: Write the first four terms of the sequence whose general term is given. Separate the terms with a…

A: Topic = Sequence

Q: 2, 4, 36, 1600 what's next in the sequence

A: Given information: A sequence is provided as 2, 4, 36, 1600. The next number in the sequence is to…

Q: Write a rule for the n th term of the sequence for which a, ==500 and r = 5 . Identify the first six…

A: The nth term of the sequence is given by the formula, an=a1rn-1 substitute the value n=4,…

Q: Determine if the sequence is monotonic and if it is bounded. n! 5n

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Q: 4, _, 100, ..

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Q: Determine whether the sequence is increasing, decreasing, or not monitoring. Is it bounded?

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Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

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Q: What is the 10th term in this sequence: 4, 8, 10, 12,..

A: Our Aim is to find the 10th term the sequence given below:-4,8,10,12,......-(i)

Q: Find the first four terms of the sequence given by the following. a,= 5-(-2)", n=1, 2, 3... %3D

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Q: Determine whether the sequence is arithmetic or geometric.-1, 1, 3, 5, 7, . . ._______________

A: The given sequence is,  -1, 1, 3, 5, 7,…… A sequence will be said to be in arithmetic progression if…

Q: Write Hhe first 3 terns For this recursively defined sequence

A: The solution is in step 2

Q: Find the 8th term of each sequence. 4. 1, 2, 4, 8, 16, . 5. -6, -9, -12, -15, -18, ..

A: 4. 1,2,4,8,16 given series is geometric series  r=21r=2 Tn=arn-1Tn=1*(2)n-1…

Q: {an} = {2(-1)"+1}

A:

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

A: Let general term of sequence an.

Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: Determine the number of terms in this sequence. 5,8,11,...,62

A: Topic = Sequence

Q: {an} = {} 4 2

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Q: Which term has the value of 133.5 in the sequence (-1.5, 1, 3.5, 6. 8.5, ...)

A: The given sequence is an arithmetic sequence with common difference d = 1-(-1.5)= 2.5 , we want to…

Q: Construct a sequence having {0,1,3,6,20} as its set of accumulation points.

A: Construct a sequence a_n = { b1, c1, d1, e1, f1, b2, c2, d2, e2, f2, b3, c3, d3, e3, f3,....., bn,…

Q: Find the number of terms in the finite arithmetic sequence. -4.4,-3.8, -3.2, ..., 8.2

A: Consider the given series.

Q: Decide whether the sequence 1, 2, 3, 4, 5, 6, 7,. is finite or infinite. ..... Choose the correct…

A: Given:      1 , 2 , 3 , 4 , 5 , 6 , 7 ........

Q: Determine the first five terms of the sequence whose nth term is defined as follows. Please enter…

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Q: Construct a difference table to predict the next term of the sequence.   0, 10, 24, 56, 112, 190,…

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Q: Find the next term of the sequence: 4, 20, 100, 500, 2500,

A: Given To evaluate next term of series