True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is d, the nth term isdetermined by the formula an = a1 + nd.

Q: Write an explicit formula for the nth term of the arithmetic sequence where the fourth term is 28…

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Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: Find the 20"" term of the arithmetic sequence whose common difference is d= 5 and whose first term…

A: The formula to find the nth term in arithmetic sequence is given below: an=a1+n-1d where, a1 is the…

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

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Q: Find the nth term of the geometric sequence whose initial term is a1=6.5 and common ratio is 8

A: The geometric sequence whose initial term is a1=6.5 and common ratio is 8

Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

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Q: Suppose you save $1 the first day of a month,$2 the second day, $4 the third day, and so on. That…

A: Given- Suppose we save $1 the first day of a month,$2 the second day, $4 the third day, and so on.…

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

A: Let's find.

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence whose second term,…

A: The second term, a2, is 4 The sixth term, a6, is 16. Formula used: an=a1+n-1d where a1 is first term…

Q: Find the 16"" term of the arithmetic sequence whose common difference is d= 8 and whose first term…

A: The first term of the arithmetic sequence is 2 and common difference is 8. To find the 16th term of…

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.…

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Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

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Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: 3. Find $20 for the arithmetic sequence whose first term is a1 = 3 and whose common difference is d…

A: We have to determine s20 arithmetic sequence

Q: Suppose you save $1 the first day of a month,$2 the second day, $4 the third day, and so on. That…

A: NOTE- AS YOU HAVE GIVEN TWO QUESTIONS TO SOLVE BUT THE FIRST QUESTION IS NOT COMPLETE AS WHAT WE…

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

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Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Find the nth term of the geometric sequence whose initial term is a1 9.5 and common ratio is 10. %3D…

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Q: What is the explicit formula for a geometric sequence?

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Q: Find the 19th term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

Q: The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n -…

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Q: Find the sum of the finite geometric sequence. Σ( = 1 3\7-1

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Q: Suppose that a job offers a starting salary of $75,000 with a raise of $4000 every year thereafter.…

A: Given a starting salary of $75,000 with raise of $4000 every year

Q: Find the 15"" term of the arithmetic sequence whose common difference is d =6 and whose first term…

A: an = a  + (n-1)d

Q: Which of the following is a geometric sequence?

A: We know that,          A sequence is in geometric sequence when the common ratio between the…

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: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

Q: Find the infinite sum of the geometric sequence with a =2 r=2/6 if it exist

A: The geometric sequence with a =2, common ratio r=2/6

Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

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Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

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

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Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: Looking for a formula for the sequence below: 1, 0, 3, 2, 5, 4, 7, 6...   Can't seem to come up…

A: Given series 1, 0, 3, 2, 5, 4, 7, 6...

Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.

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Q: State the formula for the general term of an arithmetic sequence with an initial value of 1/3 and a…

A: Given a=1/3 d=2

Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: Find the 10 term of the geometric sequence whose common ratio is and whose first term is 6. 1/2

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Q: Find the 19" term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: the nth term of the arithmetic sequence is given by an=a1+n-1d here we have a1=4,   d=3 an=4+n-13…

Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

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Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum…

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

Q: Find the 10th term of the geometric sequence whose common ratio is and whose first term is 6 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.