Answer:
5n
The coefficient is 5
Step-by-step explanation:
For day 1; he fill 5 cups
For day 2; he fill 5 + 5 cups
For day 3; he fill 5 + 5 + 5 cups
For day 4; he fill 5 + 5 + 5 + 5 cups
For day n; ?
The sequence is 5, 10, 15, 20, ...
The sequence increases linearly.
a = 5, d = 5, n = ?
Using the Formula for nth term of a sequence, we have:
[tex]T_{n} = a + (n - 1)d\\T_{n} = 5 + (n - 1) 5\\T_{n} = 5 + 5n -5\\T_{n} = 5 - 5 + 5n\\T_{n} = 5n[/tex]
The question is not complete. Here is the complete question:-
Michael started by filling up 12 cups. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.
Answer:
The algebraic expression is :
y = 12 + 5n
The coefficient is 5
Step-by-step explanation:
Please kindly check the attached files for explanation
