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
Question
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.
Solution
The sequence is defined by the formula an = 4(3)^n. To find the first five terms, we substitute the values n = 1, 2, 3, 4, and 5 into the formula.
- For n = 1, a1 = 4(3)^1 = 4 * 3 = 12
- For n = 2, a2 = 4(3)^2 = 4 * 9 = 36
- For n = 3, a3 = 4(3)^3 = 4 * 27 = 108
- For n = 4, a4 = 4(3)^4 = 4 * 81 = 324
- For n = 5, a5 = 4(3)^5 = 4 * 243 = 972
So, the first five terms of the sequence are 12, 36, 108, 324, and 972.
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 = 69n − 25
these are the first four terms of a linear sequence3.1 , 2.3 , 1.5 , 0.7 find the nth term of the sequence
Write the first six terms of the sequence.$a_n=3n-1$an=3n−1The first six terms of the sequence are , , , , ,
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
1. 1. Find these terms of the sequence {an}, where an = 2 (−3)n + 5n.a) a0 b) a1 c) a4 d) a5
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.