A grocery cart is 38 inches long. When the grocery carts are put away
in a nested row, the length of the row depends on how many carts are
nested together. Each cart added to the row adds 12 inches to the row
length. The graph shows the sequence.

Respuesta :

The explicit rule for the sequence is Tn = 12n - 26

Find the image of the graph attached.

From the graph, the coordinate of the y-axis form the sequence as shown:

38, 50, 62, 74, 86

The sequence is an arithmetic sequence and the nth term of the sequence is expressed as:

Tn = a + (n -1)d where:

  • a is the first term
  • d is the common difference
  • n is the number of terms

Given the following

a = 38

d = 12

Substitute the given values into the formula:

Tn = 38 + (n-1)(12)

Tn = 38 + 12n - 12

Tn = 12n - 26

Hence the explicit rule for the sequence is Tn = 12n - 26

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