Find the first three terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = –n2 + 4n − 8
Question
Find the first three terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = –n2 + 4n − 8
Solution
Sure, let's find the first three terms of the sequence defined by the formula an = -n^2 + 4n - 8.
-
For n = 1, substitute n = 1 into the formula: a1 = -(1)^2 + 4*1 - 8 = -1 + 4 - 8 = -5
-
For n = 2, substitute n = 2 into the formula: a2 = -(2)^2 + 4*2 - 8 = -4 + 8 - 8 = -4
-
For n = 3, substitute n = 3 into the formula: a3 = -(3)^2 + 4*3 - 8 = -9 + 12 - 8 = -5
So, the first three terms of the sequence are -5, -4, -5.
Similar Questions
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4(3)n
Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 6n2 + 9n − 6
The nth term of a sequence is given by the formulaTn = 34 - 8n. The first negative term of the sequence is -8 -2 -4 -6
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 69n − 25
Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term?a = −7, d = 8an = a10 =
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.