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

Q: Find the simplest form of the general term for the sequence 12, 17, 22, 27, .... 5 n+ 2 10 n- 2 10…

A: Please refer the attached image for complete solution.        Given:      sequence:…

Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1(n + 4)

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Q: Write the first four terms of the sequence whose general term is given below. (-1)^ 4 +1

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Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: a. an=3n+4 Put n=1, 2, 3 & 4, we get a1=31+4=7a2=32+4=10a3=33+4=13a4=34+4=16 Hence the first…

Q: Write the first four terms of the sequence whose general term is given, a1 = 4 and an = 2an-1 + 3…

A: The general term is: Given [n=1]: Now, put n=2 in the general term, we get:

Q: Find an expression for the general term, tr, for the sequence: 5 7 9 11 3, 2'4'8' 16

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Q: Find the missing terms in the arithmetic sequence 2, a2, a3, 11

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Q: Write an explicit formula for the sequence: - 20.5, -34.25, 48, -61.75 11

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Q: Write the explicit formula of an arithmetic sequence given the information below: a10=102 and…

A: To write the explicit formula of an arithmetic sequence with the given information

Q: For Exercise, determine whether the sequence is arithmetic. If so, find the common difference.  256,…

A: According to the given information it is required to check whether the given series is arithmetic or…

Q: For an arithmetic sequence, a27 = 85. If the common difference is 5, find: a1 = the sum of the first…

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Q: Describe the pattern, write the next term, and write a rule for the n th term of the sequence.…

A: Clearly next term is 5 more than the previous term.  So The pattern is A.P. and the next term = 16 +…

Q: (d) Explain why the other sequence is neither an AP or a GP

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Q: Write the explicit formula for the sequence 12, 36, 108, 324

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Q: For an arithmetic sequence, a2 13. If the common difference is 8, find: || the sum of the first 37…

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Q: Write an expression for the apparent nth term a n for the sequence. 10, −30, 90, −270, …

A: Given,The sequence -10, 30, -90, 270,…

Q: 3(-1)" 3. а, n!

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Q: Use the formula for the sum of the first n terms of the arithmetic sequence to find the sum. 9. + 5…

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

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Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

Q: Write the first four terms of the sequence whose general term is given below. a₁ = ( − 1)^(n+7)

A: Given, an=(-1)n(n+7) The first four terms of the sequence is given by,

Q: For an arithmetic sequence, 017 = 47. If the common difference is 5, find: a1 = the sum of the first…

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Q: Write a recursive formula for the following arithmetic sequence. 11, 6, 1, -4, ... %3D for n 2

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Q: Write the first four terms of the sequence whose general term is given.   an = (-10)n+1 a1= a2= a3=…

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Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: The first term is 3580, and the common difference is -19. Which term of the sequence is 2706? n =

A: The first term of an A.P. is  a1=3580 The common difference of an A.P. is  d=-19 To evaluate : the…

Q: In an arithmetic sequence, as = 3, a10 = 58, find a1.

A: We have given In an arithmetic sequence, a5 = 3, a10 = 58

Q: For each sequence, decide whether it could be arithmetic,geometric,or neither 1.100,20,4 2.6,12,18

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Q: determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4,…

A: For a sequence to be an arithmetic progression it must follow the common difference procedure as.

Q: Find the number of terms in the finite arithmetic sequence: {- 2, 4, 10, 16, 22, ..., 466} n 3=

A: As per our guidelines we can answer only one question .please repost other seperately

Q: For the arithmetic sequence, find a19 and an when = 1 and a = - 11. %3D

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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: For the sequence defined by An = n° + 4n +1, simplify completely an properly formatted mathematical…

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Q: Write the explicit formula for the sequence. 1.) -1/4, -1/6, -1/9, -2/27, -4/81,... 2.) -2, -10,…

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Q: Write the first three pattern of the sequence whose nth term is given by the formula: 2n a. an = n+3…

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Q: Find the indicated term of the arithmetic sequence a1 = 5, d= 3, a4= ?

A: Given First term a1=5Common difference d=3

Q: Determine the value for x which makes the following sequence arithmetic. 2x-1, x+12, 3x-2

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Q: 12._, -10,_ , 14

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Q: 6. a, for -2,2,6,10,...

A: Given sequnce is -2,2,6,10... Note thet first term =a1= -3 Common difference=d=2-(-2)=6-2=10-6=4

Q: Write the formula for the nth term of the sequence: 2, 5, 8, 11, ...

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Q: Write the first four terms of the sequence whose general term is given below. a, =(-1)h+1(n+ 2) a1

A: we have to find first 4 term of the sequence

Q: Use the formula to find the sum of terms of the arithmetic sequence:                         5 + 8…

A: Given that  5 + 8 + 11+ . . . + 92  To find the sum of terms of the arithmetic sequence:

Q: 2. ,a = 12 %3D

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Q: Write an explicit rule for the sequence. 13, a, = 4a, %3D n-1 a.

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Q: 3. a, for -3,3,9,...

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Q: The missing term of the arithmetic sequence, 31, [ ], 47

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Q: Write the first four terms of the sequence whose general term is given below. an = (- 1)*'(n + 2)

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Q: For an arithmetic sequence, a14 = 43. If the common difference is -8, find: the sum of the first 59…

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Q: Write the explicit formula for the arithmetic sequence. 3, -3, -9, -15, -21, .. es -) A) an = 7 - 4n…

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Q: For the sequence defined below, find the term a 4 ao = 1, a1= 4, an=2an-1-an– 2

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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.