1. What are the next two terms of the following sequence? -3, 1, 5, 9...
2. What are the next two terms of the following sequence? -2, 4, -8, 16...
3. What is the common difference of the following arithmetic sequence? 13, -7, -27, -47...
4. What is the ninth term of the arithmetic sequence defined by the rule A(n) = -14 + (n-1)(2)?
5. Each time a touchdown is scored in a football game, 6 points are added to the score of the scoring team. A team already has 12 points. What rule represents the number of points as an arithmetic sequence?
I already did the problems, just wanna make sure that they are correct.
1.D
2.B
3.C
4.D
I'll be glad to check your answers.
Did you get 13 and 17 for number 1?
Thank you (:
Yes, I did. It's correct right?
Yes.
13 and 17 is right
what did you get for the last problem?
John is right, thanks! (:
discord.gg/JrV2BWx
NEW CONNEXUS CHEATING DISCORD COMMUNITY
1. To find the next two terms, we can observe that the sequence is increasing by 4 each time. So, the next term would be 9 + 4 = 13, and the term after that would be 13 + 4 = 17. Therefore, the next two terms are 13 and 17.
2. In this sequence, we can notice that each term alternates between a positive and negative power of 2. So, the next term would be -8 * -2 = 16, and the term after that would be 16 * -2 = -32. Therefore, the next two terms are 16 and -32.
3. In an arithmetic sequence, the common difference is the difference between consecutive terms. To find the common difference, we subtract any term from the next term. For this sequence, the common difference is obtained by subtracting -7 from 13, resulting in (-7) - (13) = -20. Therefore, the common difference is -20.
4. The general formula for finding the nth term of an arithmetic sequence is A(n) = a + (n - 1)d, where a is the first term and d is the common difference. In this sequence, a = -14 and d = 2. Plugging these values into the formula, we get A(9) = -14 + (9 - 1)(2) = -14 + 8(2) = -14 + 16 = 2. Therefore, the ninth term is 2.
5. In this problem, the number of points scored after each touchdown is constant, which indicates an arithmetic sequence. Since each touchdown adds 6 points to the total score, the common difference is 6. Therefore, the rule representing the number of points as an arithmetic sequence is A(n) = 12 + (n - 1)(6), where A(n) represents the total points after n touchdowns.