Given the explicit expression f (n) = 4m + 2 write a set showing the sequence (1 point)
O (4, 8, 12, 16.)
O (2.6, 10, 14..)
0 16,10,14,18. 3
O 16,8.10,12.3
The correct set showing the sequence for the given explicit expression f(n) = 4n + 2 is:
{6, 10, 14, 18}
Given the explicit expression f (n) = 51 - 2 write a set showing the sequence, and write a recursive expression. (1 point
O {5, 10, 15,20...J, f (1) = 5 and f (7) - f (n - 1) + 4
O (3, 8, 13, 18...) , f (1) - 3 and f (n) - f (n - 1) + 4
• {5, 10, 15, 20...J, f (1) = 5 and f (n) - f(n - 1) + 5
O (3, 8, 13, 18..), f (1) - 3 and f (n) - f (n - 1) + 5
The correct set showing the sequence for the given explicit expression f(n) = 51 - 2 is:
{49, 47, 45, 43, ...}
The correct recursive expression is:
f(1) = 49, and f(n) = f(n-1) - 2.
To generate a sequence of numbers using the explicit expression f(n) = 4n + 2, you can substitute values of n to find the corresponding values of f(n).
Let's substitute different values of n to find the corresponding values of f(n):
For n = 1:
f(1) = 4(1) + 2
= 4 + 2
= 6
For n = 2:
f(2) = 4(2) + 2
= 8 + 2
= 10
For n = 3:
f(3) = 4(3) + 2
= 12 + 2
= 14
For n = 4:
f(4) = 4(4) + 2
= 16 + 2
= 18
Therefore, the sequence generated by the expression f(n) = 4n + 2 is:
{6, 10, 14, 18}
To generate a sequence using the explicit expression f(n) = 4n + 2, we need to substitute different values for n and evaluate the expression. Let's calculate the sequence using the given expression:
1. Substitute n = 1:
f(1) = 4(1) + 2
= 4 + 2
= 6
2. Substitute n = 2:
f(2) = 4(2) + 2
= 8 + 2
= 10
3. Substitute n = 3:
f(3) = 4(3) + 2
= 12 + 2
= 14
4. Substitute n = 4:
f(4) = 4(4) + 2
= 16 + 2
= 18
Therefore, the sequence generated by the explicit expression f(n) = 4n + 2 is:
{6, 10, 14, 18}