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find the 10th term of the sequence {8,15,22,...}

 May 16, 2020
 #1
avatar+2419 
+2

An arithmetic sequence is a sequence of numbers such that the difference of consecutive terms is constant. One can find the nth term of an arithmetic sequence with \(a_n=a_1+d(n-1)\).

\(a_n\) represents the value of the nth term of the sequence.

\(a_1\) represents the value of the first term of the sequence.

\(d\) is the common difference, or the difference of consecutive terms

\(n\) represents the desired term, 10 in this case.

 

The common difference is 7, and the first term is 8, and we are looking for the 10th term of this sequence.

\(a_{10}=8+7(10-1)\\ a_{10}=8+70-7\\ a_{10}=71\)

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 May 16, 2020
 #2
avatar+1498 
+1

Hello x^2 it's good to see you back after you were kinda inactive for a bit :)

hugomimihu  May 16, 2020
 #3
avatar+2419 
+1

Thanks for the recognition :)

TheXSquaredFactor  May 16, 2020

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