Exercises 88–90 will help you prepare for the material covered in...

Question

Exercises 88–90 will help you prepare for the material covered in the next section. Use the formula an = a₁3^(n-1) to find the seventh term of the sequence 11, 33, 99, 297,...

Accepted Answer

Hey everyone here we are asked to find the sixth term of the sequence. 17 68 to 1088 so on. So here we are also told to use the equation, A sub N is equal to a sub one times equality of four to the power of n minus one, So a year to find the sixth term. What we first need to note that this a sub one term here in our given equation is our first term which is 17. So we know that a sub one is equal to 17 and next our missing variable here is N. N. Is the term number that we are trying to find and we're trying to find the sixth term. So N will be equal to six. And now we can just plug in these values and find our a sub sixth value, our sixth term. So here our a sub N which is six is equal to a sub one which is 17 times the quantity of four to the power of N which is six minus one. Now, all we have to do is simplify. So here our equation is really 17 times four to the power of 6 -1 which is just five. And now simplifying further, we have 17 times four to the power our of five which is 1024. And finally multiplying these two values, we see that a sub six our sixth term here is the value 17,408 which is our answer here for choice B. Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

Exercises 88–90 will help you prepare for the material covered in the next section. Use the formula an = a₁3^(n-1) to find the seventh term of the sequence 11, 33, 99, 297,...

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