Given the sequence of "-2, -5,-8,-11, ...". Determine the sum of its first 20 terms. -590 O None of the choices O 570

Q: Use inductive reasoning to determine the next two terms in the sequence: A , 6 , D , 16 , H , 46 ,…

A: The inductive reasoning is a type of reasoning in which we draw conclusion from the given data.…

Q: 6) Match the sequence given to the correct formula. 2, -4, -10, -16 *

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Q: Find the general term of the arithmetic sequence$$ 6, 2,-2,-6,... .$$ O $$an= -4n+10$$ $San=2n2-3$$…

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Q: Find the first four terms of the sequence given by the following. an = 38 - 7 (n-1), n= 1, 2, 3

A: Given  an= 38-7(n-1)

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Solve the following

Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: What is the next term of the given sequence: 1, -4, 9, -16, 25, -45 -19 O -36 O -25

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Q: Write down the first five terms of the sequence: (n + 4)! an 2" a2 = az = a4 = a5 =

A: Terms of squence

Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: Given the geometric sequence: -1, 6, -36, 216, . Which of the following represents the explicit…

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Q: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals  a) 2^n + 1? b) (n +…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Find the first four terms of the sequence in which a1 = 3 and an = 2an-1 + 5 for n≥ 2.

A: Given series and their first term are: an = 2an-1 + 5  and  a1 = 3   for n≥ 2 To find the second…

Q: The third term in the sequence with a1 3 and an = an-1 + 2n where n >1 is

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Q: The third term in the sequence with a1 = 4 and an= an-1+5n where n > 1 is 29 4 O 19 34 O 14

A: Explanation of the solution is given below...

Q: Find the first four terms of the sequence in which a1 = 5 and an = 3an-1 + 2 for n ≥ 2.

A: Consider the following equation: an=3an-1+2          for n≥2                        ...... 1a1=5…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Second term in GP is ar=24   Sixth term in GP is ar5=121.5   Divide both the equations:…

Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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

A: SOLUTION-

Q: List the first five terms of the sequence. 2n an n? + 1

A: To list the first five terms of the sequence: an=2nn2+1 Solution: an=2nn2+1 Substituting n=1 in an…

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, . .... a = 2.4"-1 A a = 8.4"-1 %3D…

A: We have the given sequence is 2,8,32,128............

Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

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Q: ind a formula for the solution of the sequence An Зап-1 — 2ап-2, п23, а, — 2, а2 — 3 |

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Q: List the first five terms of the sequence: 3(-1)" an n! and a5 ai a2 аз a4

A: Given sequence an= 3(-1)n/n! Now we have to find first five terms of sequence by putting n=1,2,3,4,5…

Q: n-1 a, = 5()"- is the formula that represents the sequence: 5, ž, 4 8 5 5 5 %3D O True O False

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Q: Find the first four terms of the sequence given by the following. an=3 (4)^n-1 n = 1, 2. 3...

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Q: 2. Which explicit formula describes the sequence (87, 83.4, 79.8, 76.2, ...}? O an = 87 + (n-…

A: NOTE: Refresh your page if you can't see any equations. . the first term is  . the common ratio is…

Q: How many terms are in the arithmetic sequence 7,1, –5, . , –161? .... Hint: an = a1 + d(n – 1) where…

A: The given arithmetic sequence is,7,1,-5,....,-161

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 8,

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Q: List the first five terms of the sequence. 3(-3)" n! an a1 = 9. %3D a2 = 27/2 az = -27/2 a4 = 81/8…

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Q: How many terms are in the arithmetic sequence 5, 1, -3,...,-99? Hint: an = a1 + d(n – 1) where aị is…

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Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

Q: What are the first 5 terms of the sequence represented by a=2n-3a n "n-1, where a₁ = 4₂

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Q: Consider the sequence: 2, 4, 8, 16, 32, ... Determine the 20th term of the sequence. O A. 1,048,576…

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Q: Find the first four terms of the sequence given by the following  a n =42-5(n-1), n=1,2,3

A: given the expression for common term of the sequence as, an = 42 - 5(n - 1)

Q: Find the Be pem of the sequence: term 6 16

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Q: The next term in this sequence, -1/6. -2/3, -1 1/6, -5/3, __________ is? (What is the next term in…

A: Here we will find the next term in the given sequence,

Q: Write the first 4 terms of the sequence. a, = 7, a, = 8• an-1+1, for n> 1

A: The sequence is given as,         an=8an-1+1 ,     n>1 The first term is given as a1=7 We need to…

Q: 1 Give the first five terms of the sequence: 2 4 5: a, = ,-2 · an-1 (for n 2 3) %3D 5' 42 =

A: Given sequence is: a1=25, a2=45; an=an-2.an-1       (for n≥3)

Q: Use inductive reasoning to find the next two terms of each sequence.   6. 1/2, 1/4, 1/8, 1/16…

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Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

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Q: Let bo, b,, b2, - be the sequence defined by the explicit formula b, =C. 6" + D(-5)^ for each…

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Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: List the first five terms of the sequence. aj = 5, an+1 5а, - 6 5an %3D aj = a2 = %3D a3 = a4 as |3|

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Q: If a sequence has 6 letters with each letter either A or B, how many sequences have more As than B…

A: Using definition of combination, no.of such sequences obtained

Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

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Q: Which of the following is the explicit formula for the sequence {-2, -6, -18, -54, -162, ...}? a. =…

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Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

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