Use the formula a_n=4+(n-1)(-7) to find the eighth term of the se...

Question

Use the formula a_n=4+(n-1)(-7) to find the eighth term of the sequence 4, −3, −10,…

Accepted Answer

Hey everyone here we are asked to determine the 13th term of the sequence. Two negative seven negative 16. Using the equation of this arithmetic sequence, a sub n is equal to two plus the quantity of n minus one times negative nine. Now here our first step is to determine the value for N. Well N is just whatever term we're looking for and since it's the 13th term and is just equal to 13. So we're looking for a sub 13, the 13th term. So using the formula we have two plus the quantity of instead of N. Again we have 13. So we have 13 minus one times negative nine. Now we just have to simplify so we have two plus and then minus one just gives us 12 times negative nine. And then simplifying further we have two plus 12 times negative nine gives us negative 108. And now adding these terms together we see that a sub 13 our 13th term is equal to negative 106. Which is our answer here for choice. D Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Use the formula a_n=4+(n-1)(-7) to find the eighth term of the sequence 4, −3, −10,…

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