Find an explicit formula for the sequence given by the recursive definition. t_n = t_n-1 + 4, t_1= 6

Step-by-step explanation:

The added 4 in the recursive formula tells you that the common difference between terms is 4. That means the explicit formula will have a 4n term in it (matching choices A and D). Of those, only choice D has a first-term value of 6 for n=1.

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You know the explicit formula for and arithmetic sequence is ...

  tn = t1 +d(n -1)

The recursive formula tells you the first term is t1=6, and the common difference is d=4. Then the explicit formula is ...

  tn = 6 +4(n -1)

  tn = 2 +4n . . . . . matches choice D

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: