3n 1. Consider the infinite sequence generated by a, = n+5 a. List the first six terms of the sequence {a, }. b. Determine whether the sequence is increasing, decreasing, or not monotonic your answer algebraically. c. Is the sequence {a,} bounded? Justify your answer.

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 the answer quickly

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Q: Find the missing terms in the arithmetic sequence 13, 5. а. 22, 31, 40 с. 11, 9, 7 b. -2, -4,-6 d.…

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Q: 3. Find to given two terms in a geometric sequence, t₁ = 192 and t₂ = 49,152. [5]

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Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: What is the nth term of the sequence 9, 13,17...

A: nth term of the sequence can be computed as                                      tn = a + (n-1) d…

Q: 4. In an arithmetic sequence, t₁0-11 and t18=27, determine the first 2 terms.

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Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: Find the 53rd term of the arithmetic sequence 27, 11, -5, ...27,11,−5,...

A: The given arithmetic sequence is  27, 11, -5, ...............  The first term a = 27 difference d =…

Q: 15. Write the first five terms of the sequence, and explain what the fifth term means in the context…

A: We have to write the first five terms of the sequence, and explain what the fifth term means in the…

Q: Determine whether the sequence an= 5n+3 Justify your answer. is monotonic. Is it bounded?

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Q: 7. Eliminate a and b from the equation y =- In(ar +bx) where a,beR-(0}

A: q-7 eliminate a and b from the equation y=12lnax2+bx  this can be written as 2y=lnax2+bx⇒e2y=ax2+bx…

Q: Use the difference an+1 – an to show that the sequence - {n – 9"}n=1 is strictly increasing or…

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Q: 6. The first four terms of an arithmetic sequence are 2, a-b, 2a+b+7, a-3b. Find a and b.

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Q: Which term of the arithmetic sequence 1, 9, 17, 25, It is the th term. Calculator ... is 297?

A: Given that  First term = a1 = 1 , Second term = a2 = 9 nth term = an = 297

Q: 27. Which equation represents the n term of the sequence (2. -1, -4, -7...a A. a. 2n -5 B. a, = 3n…

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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.