In Exercises 1–12, write the first four terms of each sequence wh...

Question

In Exercises 1–12, write the first four terms of each sequence whose general term is given. an=(−3)^n

Accepted Answer

Hey everyone welcome back in this problem. We are given a sequence whose general term is provided and were asked to write the first four terms. And the general term we're given is A. N. Is equal to negative five to the exponent N. So starting with the first term A one. Okay so we have an end value of one. We get negative five to the exponent one. Which is just gonna give us a one is equal to negative five. Moving on to the second term a two A two and it's two. So we get negative five squared. Okay negative to an even exponent that's going to give us a positive when we multiply a negative by a negative we get a positive. So we get 25. 8 2 is equal to 25. 1st 2 terms are done we're halfway there. A three. The third term N. Is three. So we get negative five to the exponent three. Okay we have a negative number two an odd exponents. So that's gonna give us negative okay five Cuban is 125. So we get negative 125 for a three in our fourth and final term that we're looking for a four. An end value of four. We get negative five to the exponent four. Just like with two we have an negative to a even exponents that's gonna give us a positive value. We're gonna get a four is equal to 625. So the first four terms of our sequence we're going to be negative 25 negative 125 and 625. And that's going to correspond with answer D. That's it for this one. Thanks everyone for watching. See you in the next video.

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In Exercises 1–12, write the first four terms of each sequence whose general term is given. an=(−3)^n

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