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What is the 20th term of the arithmetic sequence?-8, -7, -6, -5,...

User Mengmeng
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2 Answers

4 votes

Answer:

Explanation:

User Tassones
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4 votes

To find the 20th term we need to find the expression for the sequence. We know that any arithmetic sequence have the form:


a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference. We notice that in this case the common difference is 1. With this in mind:


\begin{gathered} a_n=-8+1(n-1) \\ =n-9 \end{gathered}

Hence:


a_n=n-9

Now that we have the sequence we can obtained the 20th term:


a_(20)=20-9=11

Therefore the 20th terms is 11.

User Blackholyman
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