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=3n+2

Accepted Answer

Hey everyone welcome back in this problem. We have a sequence whose general term is provided. Were asked to write the first four terms and the general term we're given is A. N. Is equal to seven and plus nine. Okay so the first term is going to be a one. We have an end value of one so we get seven times one plus nine. Seven plus nine Which is equal to 16. So our first term a one is 16. Moving to our second term. A two. Okay. And end value of two. So we get seven times two plus nine. This gives us 14 plus nine for a two. Second term of 23. Alright, we're halfway there. We've done our first two terms. Now we have term three and four left. So term three A three is one. N. Is equal to three. We get seven times three plus nine. This gives us 21 plus nine And a three value of 30. Alright. In our fourth and final term we're asked to find a four. Okay. N. Is four so we get seven times four plus nine Which is equal to 28-plus 9 which gives us an a. For value of 37. And so the first four terms in the sequence we were given 1623, 30 and 37. So we have answer. C. Thanks everyone for watching. 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=3n+2

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