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Q: Write an equation for the nth term of the arithmetic sequence 4, 7, 10, 13, ...

A: We have to find the nth term of the given sequence.

Q: What are the next two terms in the sequence 512, 256, 128, 64, ?

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Q: What is the 1st term in an arithmetic sequence whose 26th term 165 and common difference 6?

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Q: The first four terms of an arithmetic sequence are p, 9, 3p - q, and 3p + q. What is the 2010th term…

A: The given arithmetic sequence are  p,9,3p-q,3p+q We have to find 2010 term of the sequence.

Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

Q: Calculate the 10th term for this arithmetic sequence: 4, 1, -2, -5, ..

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Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

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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: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

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Q: Find the 8th term in the sequence 18n-36.

A: Put n= 8

Q: What are the next two terms in the sequence 74,68,62, 56, 50?

A: What are the next two terms in the sequence 74,68,62, 56, 50?

Q: Find the sum of the terms of an arithmetic sequence: 3+ 15+ 27+ 39... +615

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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.