Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five terms of the sequence. Determine the 100th term of the sequence and the sum of the first 100 terms. Show your work in applying the correct formulas - but do not simplify. A model response might look like this: 3,7, 11, 15, 19, . n = 100 d- 4 a1 = 3 a100 = 3 + (100 - 1)(4) 100 (2(3) + (100 - 1)(4) Sum of a, to a100 =

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: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: Given the sequence: 13, 104, 832, 6656, … Write a rule for the nth term of the sequence.

A: We can find the general term as below.

Q: Write the arithmetic sequence -2, 7, 16, 25, ... in the standard form: an www.com

A: Write the arithmetic sequence -2, 7, 16, 25, ... in the standard form:

Q: Find the indicated term in each arithmetic sequence

A: Given, To evaluate 9th term of  arithmetic sequence

Q: Write a formula for the arithmetic sequence that starts as follows: 3, 8, . . . Write the first five…

A: Here the given arithmetic sequence as Since the difference between any two terms of the above…

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

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Q: sequence

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Q: Enter if the sequence below is: Arithmetic, Geometric, or Neither: -5√5,25,-25√5,... Enter the next…

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Q: Given an arithmetic sequence with ag = 0 and a19 = - 35, find a35. %3D 235 %3D (Simplify your…

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Q: An arithmetic sequence has a first term of 64 and a common difference of 2. The sum of the first 10…

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Q: Find the sum of the first 50 terms of the arithmetic sequence: 16, 23, 30, 37, .. О 366

A: Given:  The given Arithmetic sequence is 16,23,30,37,.... To find :  Sum of first 50 terms of the…

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Write the arithmetic sequence – 14, – 17, – 20, – 23, ... in the standard form: An

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Q: Write the arithmetic sequence – 19, – 23, - 27, – 31, ... in the standard form:

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Q: Write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . .Then use the formula for…

A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: Give an example of an arithmetic sequence and geometric sequence, each with at least 6 terms

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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.