Explanation Given Information: The n th term of the sequence is a n = a n − 1 − 3 and the first term, a 1 = 10 for n > 1 . Calculation: Consider the provided sequence, a n = a n − 1 − 3 To find the first five terms of the sequence, substitute the count of the term in place of n in the n th term of the sequence. As, first term of the sequence is already given, that is: a 1 = 10 For the second term, substitute 2 for n a n = a n − 1 − 3 : a 2 = a 2 − 1 − 3 = a 1 − 3 Substitute a 1 = 10 in above: a 2 = 10 − 3 = 7 For the third term, substitute 3 for n a n = a n − 1 − 3 : a 3 = a 3 − 1 − 3 = a 2 − 3 Substitute a 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.

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Chapter 14.2, Problem 68PE

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To calculate: The first five terms of the sequence an=an−1−3 and the first term, a1=10 for n>1.

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Chapter 14.2, Problem 67PE

Chapter 14.2, Problem 69PE

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Chapter 14 Solutions

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The first five terms of the sequence a n = a n − 1 − 3 and the first term, a 1 = 10 for n > 1 .

Solution Summary: The author explains how to calculate the first five terms of the sequence a_n-1-3.

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To calculate: The first five terms of the sequence an=an−1−3 and the first term, a1=10 for n>1.

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Chapter 14 Solutions

The first five terms of the sequence a n = a n − 1 − 3 and the first term, a 1 = 10 for n &gt; 1 .

Solution Summary: The author explains how to calculate the first five terms of the sequence a_n-1-3.

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To calculate: The first five terms of the sequence an=an−1−3 and the first term, a1=10 for n>1.

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Chapter 14 Solutions

The first five terms of the sequence a n = a n − 1 − 3 and the first term, a 1 = 10 for n > 1 .