C1 = -5, C, = 3c,-1 – 2 : ...

Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

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Q: list the first four terms of each sequence. a^n =5n - 5: ______ , _________, ________, _________…

A: A sequence is a collection of objects in which repetitions is allowed and order of the sequence if…

Q: List the first five terms of the sequence. - 1. a₁ = 2, a₂ = 1, an+1 = an an-1

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Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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

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Q: find a formula for the nth term of the sequence. 1, -1/4,1/9, -1/16,1/25, ...

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Q: Find the 15th term of the following sequence. {64, 16, 4, 1, .}

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Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: List the first five terms of the sequence. a₁ = 2₁ ªn+1 = 2an + 3

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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: Find two different explicit formulas for the sequence{ -1, 1, -1, 1, -1, 1, ⋅ ⋅ ⋅}.

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

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: 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: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: Find the sum of the first eight terms of the sequence , −     , 1/8   -1/4   1/2

A: The sequence 18,-14,12,... We have to find the sum of the first eight terms.

Q: Find the 20th term of the sequence s, = (-1)"(n + 1).

A: Givensn=(-1)n(n+1)

Q: find a formula for the nth term of the sequence. 1, 0, 1, 0, 1,...

A: Given the series:1, 0, 1, 0, 1…

Q: Identify the 7th term of the sequence: 4, 20, 100, .... * O 65,200 315,200 O 62,500 O 312,500

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Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

Q: 3(-1)" 3. а, n!

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Q: Find the third ,fourth and fifthterms of the sequence defined by a1=2,a2=3 and an=(-1)nan-1+an-2

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Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: List the first five terms of the sequence. a1 = 3, an+1 = 5a, - 5 5а, - 5 %3D

A: Given the sequence is a1 = 3, an+1 = 5an – 5. We have to calculate the first five terms of this…

Q: Find the first four terms and the eighth term of the sequence.{12 - 3n}

A: Find the first four terms and the eighth term of the sequence.{12 - 3n} Given, an=12-3n To find a1,…

Q: find a formula for the nth term of the sequence. 1, -4, 9, -16, 25,c

A: It can be written as,

Q: Find the first four terms and the eighth term of the sequence.

A: Given that, an=-1n+1+0.1n-1

Q: Find an explicit formula for the general term a, of the sequence. {-4,0,4, 8, 12, 16, ...}

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Q: Find the first four terms of the sequence defined by а, — 3 %3D а, 3 За, —1 + 2, for all n > 1

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Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: Find the first term, a1, and the common difference, d, of the sequence. 13, 10, 7, 4, 1, ...

A: The given sequence is 13, 10, 7, 4, 1,.... So the first term is=a1= 13

Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

Q: List the first five terms of the sequence. 2 = 4, ant = Sa, - 3 a5 2,

A: See the attachment

Q: Find the fifth term in the sequence that is defined as follows: an = n² + 2

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Q: List the first five terms of the sequence defined by An = (-1)".10"-1 %3D

A: SOLUTION-

Q: Find the sum of the first fifty terms of the sequence: 5, - 2, - 9, -16, .. O - 275 O - 338 O 8,575…

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Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: List the first five terms of the sequence. (-1)" – 1 an n2 II

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Q: List the first five terms of the sequence. a1 = 3,    an+1 =a^n / 1+an

A: The given sequence: a1=3, an+1=an1+an  an+1=an1+an     ............1 Put n=0 in equation (1)…

Q: Find the 11th term of the sequence 3, -6, 12, -24,. ...

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Q: Is this sequence geometric-10,-8,-5,-1,

A: Given sequence:  -10,  -8,  -5,  -1 To find:  Is this sequence geometric.

Q: List the first 5 terms of the sequence below. 2 3n a, = (-1)" - for n > 0 for n 20

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Q: a1 —D 1, аn+1 — 5аn — 3 -

A: Solve by direct putting values

Q: find a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

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Q: List the first four terms and the tenth term of sequence:

A: Given, nn+1

Q: Find the fifth term in the sequence that is defined as follows: an = 4 + (-1)" Enter

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Q: List the first five terms of the sequence. (-1)^ - 1 an 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.