Answer :
To find the sixth term of the sequence given by the function [tex]\( f(n) = 4n + 26 \)[/tex], we need to evaluate the function at [tex]\( n = 6 \)[/tex].
Here is a step-by-step solution:
1. Identify the function: The function is [tex]\( f(n) = 4n + 26 \)[/tex].
2. Substitute [tex]\( n = 6 \)[/tex] into the function: We need to calculate [tex]\( f(6) \)[/tex].
3. Perform the multiplication: Multiply 4 by 6:
[tex]\[
4 \times 6 = 24
\][/tex]
4. Add 26 to the result: Add 26 to the result from the multiplication:
[tex]\[
24 + 26 = 50
\][/tex]
5. Conclusion: The sixth term of the sequence, [tex]\( f(6) \)[/tex], is 50.
So, the correct answer is 50.
Here is a step-by-step solution:
1. Identify the function: The function is [tex]\( f(n) = 4n + 26 \)[/tex].
2. Substitute [tex]\( n = 6 \)[/tex] into the function: We need to calculate [tex]\( f(6) \)[/tex].
3. Perform the multiplication: Multiply 4 by 6:
[tex]\[
4 \times 6 = 24
\][/tex]
4. Add 26 to the result: Add 26 to the result from the multiplication:
[tex]\[
24 + 26 = 50
\][/tex]
5. Conclusion: The sixth term of the sequence, [tex]\( f(6) \)[/tex], is 50.
So, the correct answer is 50.
