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charle [14.2K]
3 years ago
15

Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Iden

tify the coefficient.

Mathematics
2 answers:
VMariaS [17]3 years ago
4 0

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:

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

vaieri [72.5K]3 years ago
3 0

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

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