Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an arithmetic sequence. -9 + (-4) + 1 + . + 696 = 107

Q: Consider the arithmetic sequence with a1= 2 and d=3 write the first five terms of the sequence find…

A: For the Arithmetic sequence, given data are, First term  a1 = 2 common difference d = 3 The nth term…

Q: Write the first four terms of the sequence defined by the recursive 2+an-1 formula a1 = -14 . /(5…

A: The solution are next step

Q: Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

A: Topic = Geometric Series As per guidelines , At a time only one question can be answered out of…

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. an= -1, 16, 81, 256, -625, ... Determine the…

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Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: Write the first five terms of the sequence. (Assume that n begins with 1.) a, = 8(-1)" + '(,) n - a1…

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Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

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Q: Write an expression that gives the requested sum. The sum of the first 36 terms of the geometric…

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Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an…

A: Given: -8+(-4)+0+⋯_348 To find the sum of the given sequence

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.3, a1 =-1.7

A: To write the first six terms of the arithmetic sequence an=an-1-0.3,a1=-1.7

Q: Find the sum cf the first 50 terms of the arithmetic sequence below. - 13, -6, 1, 8, The sum is

A: We have to find the sum

Q: Write an explicit formula for the sequence. 16 256 1, 2, 16, 3. 5

A: Given sequence 1,2,(16/3),16,(256/5),...... Explicit formula for the sequence is. Steps are written…

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. 3, 1, -1, ... ag = a24 = %3D %3D

A: First find the common difference of the given arithmetic sequence than use the formula to find other…

Q: O List the first five terms of the sequence 2n +(-3)" }

A: The given sequence is: -1n+12n+-3n To find the first five-term of the sequence.

Q: Find the formula of the general term an of the sequence: 10,50,250,1250 ..

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Q: Write the first n term of the geometric sequence A1=16x^2, r=-1/2, n=5

A: First n terms of geometric sequenceA1=16x2r=common ratio=-12n=5

Q: Write the first five terms of the sequence given by an = 3^n +1 /n! ,Begin with n=0

A: Given sequence is an=3n+1n! and begin with n=0 Substitute n=0 a0=30+10!=1+11Since, 0!=1=2 Hence,…

Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: write a general formula for the nth term of the sequence. an =- 4"-1 (n+1)² an 2 n- 1 an

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Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.3, a1 = -1.7.

A: Substitute –1.7 for a1 and 2 for n in the given recursion formula and Obtain the second term of the…

Q: write the first five terms of the geometric sequence a, =1, r=Ź %3D

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Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Write an expression that gives the requested sum. The sum of the first 38 terms of the geometric…

A: We know that a geometric sequence is a sequence with the ratio of consecutive terms constant. This…

Q: Write the first n terms of the geometric sequence A1=-3x^2, r=-1/x, n=5

A: soln:since, the given first term of geometric sequenceGn=-3x2Common ratio=-1x, n=5number of termswe…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

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Q: Complete the explicit formula for the arithmetic sequence 5,14,23,32,41,50,.. An

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Q: both questions

A: If a1 is the first term of arithmetic sequence and d is common difference, then n th term of…

Q: 2" an 2n + 1 (-1)"-1 An 5"

A: The given sequence,1. an=2n2n+12. an=-1n-15n

Q: Find the sum of the first 97 terms of the arithmetic sequence: 0, -4, –8, –12,-16,... Answer:

A: It is given that,the arithmetic sequence:    0,-4,-8,-12,-16,...... We have to find sum of first 97…

Q: Write a recursive sequence that represents the sequence defined by the following explicit formula:…

A: topic- sequence and series

Q: Write a formula for the n th term of the geometric sequence. Write your answers as integers or…

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Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: Write an expression that gives the requested sum. The sum of the first 30 terms of the geometric…

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Q: Write the first five terms of the sequence with the given nth term. an = 6n − 2

A: Given: an=6n-2

Q: Write a recursive formula for the following arithmetic sequence -14, -10, -6, -2, ... %3D | for n 2…

A: Here the given arithmetic sequence is,              —14, —10, —6, ....... nth term of an arithmetic…

Q: Write a recursive formula for the following arithmetic sequence. 10, 4, -2, -8, ... |for n z 2 a

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Q: Write a recursive formula for the sequence: -17.5, -32.25, -47, -61.75 Arithmetic or Geometric?

A: Basics of MATHEMATICS.

Q: Write the first five terms of the sequence. (Assume that n begins with 1.) an = 5(-1)" + n + 1 a2 аз

A: To find the first term we plug n=1 in the given formula  To find the second term we plug n=2 in the…

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, - 25, ... Determine the sequence's…

A: Given sequence is -1             4                 -9                16              -25 By…

Q: Fill in the blanks so that ____, 8, _____, _____, 27, ____,... (c) a sequence that is neither…

A: Topic- Progression

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.