The squares below are arranged in a sequence to show a pattern.
The table below shows the perimeter of each figure formed by the squares in the three pattern stages. Each side of a square represents 1 unit. If this pattern were to continue, which expression could be used to determine the perimeter of the figure at stage n?
|
Stage, n |
Perimeter, P |
|
1 |
8 |
|
2 |
12 |
|
3 |
16 |
A. n2 + 7
Incorrect. The table describes a linear function. The table on the calculator doesn't match.
B. 2(n2 + 3)
Incorrect. The table describes a linear function. The table on the calculator doesn't match.
C. 4(n+ 1)
Correct! Did you notice this is 4n + 4? Slope of 4 and y-intercept of 4. The table on the calculator matches.
D. -2(n − 1) + 8
Incorrect. If you simplified this answer choice you'd get 6n +2. The table does not represent a linear equation with a slope of 6. The table on the calculator does not match.
The square tiles below are arranged to show a pattern.
Which expression can be used to determine the number of square tiles in Stage n?
Please select A, B, C or D.
| A. 4n + 3 |
| B. 5n + 2 |
| C. 1 2 n2 + 3 2 n + 1 |
| D. 1 2(n3 + 3 2 n) + 6 |
A.
Incorrect. Make your own table of values. Enter the expression into your calculator. Does the calculator table match your table?
B.
Incorrect. Make your own table of values. Enter the expression into your calculator. Does the calculator table match your table?
C.
Correct! Be sure to type the expression correctly and use parentheses when dealing with fractions.
D.
Incorrect. Make your own table of values. Enter the expression into your calculator. Does the calculator table match your table?
The figures below show a pattern of dark tiles and white tiles that can be described by a relation of two variables.
Which equation relates w, the number of white tiles, to d, the number of dark tiles?
Please select A, B, C, or D.
A.
Incorrect. (I'm not sure what the feedback should be)
B.
Incorrect. (I'm not sure what the feedback should be)
C.
Incorrect. (I'm not sure what the feedback should be)
D.
Correct!(I'm not sure what the feedback should be)
The table below shows the value of a term in a given position in a sequence of numbers that follows a pattern.
Which expression best represents the value of the nth term?
A.
Incorrect. Enter the expression into your calculator. Does the calculator table match the given table? B.
Correct! You knew to change the fractions to decimals. C.
Incorrect. Enter the expression into your calculator. Does the calculator table match the given table?
D.
Incorrect. Enter the expression into your calculator. Does the calculator table match the given table?