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 have a sequence whose general term is provided and were asked to write the first four terms. Okay so the general term we're given is A. N. Is equal to seven to the exponent N. Okay so starting with the first term A one is equal to seven. Okay. The end value is one. So we get seven to the exponent one which is equal to seven. Alright. Moving to a tube. Okay. A to the end value is two. So we get seven squared. I get a two is equal to 49. Alright, we're halfway there. We've done our first two terms now we have two terms left the third and the fourth room. Okay so the third term A 31 N is equal to three. We get seven to the exponent three Which gives us an a. three of 7. Whoops. Not seven. and 43. Okay. All right. In the fourth and final term we're asked to find a four and value of four. We had seven to the exponent four Which is equal to 2401. So the first four terms of the sequence we were given is 7: 343. 2,401. That's going to be answered. A that's it for this one. Thanks everyone for watching. See you in the next video

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

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