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=2n/(n+4)

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 and the general term we're given is A. N. Is equal to six N divided by N plus nine. Okay. Alright so starting with the first term A one. Okay so we have an end value of one. We're gonna have six times end so six times one divided by N plus nine one plus nine. So it's gonna give us an a one of 6/10 more simplifying. We get 3/5. So our first term a one is gonna be 3/5. Okay. Our second term it's going to be a two. Okay, so when N is two we had six times two Divided by two Plus 9. This gives us 12 divided by 11. So 82 is 12 divided by 11. Okay so we found our first two terms, we have two terms left to go A three. It's going to be equal to six times N. Which is three. Okay. Six times three divided by N. Three plus nine. This is gonna give us 18 divided by 12 And we can simplify by dividing by six. The numerator and denominator to get 3/2. Okay, so a three is 3/2ves in the final term we're asked to find a four. Okay. A four. We have N equals four. So we get six times four divided by four plus nine. Let me get 24 divided by 13. Okay. All right. And so we have the first four terms 3/ 12/11, 3 halves and 20 for over 13. That's gonna be answer A That's it for this one. I hope this video helped see you in the next one.

In Exercises 1–12, write the first four terms of each sequence whose general term is given. an=2n/(n+4)

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