Arithmetic Sequence Explicit Rule

Which formula represents the explicit rule for an arithmetic sequence?

• f(n-1)+d

• f(n-1)*r

• f(0)+d*n

• f(0)*rⁿ

Which formula, written in words, represents the explicit rule for an arithmetic sequence?

• "previous term" plus "common difference"

• "start value" plus "common difference" multiplied by the "variable"

• "start value" multiplied by the "common ratio" to the power of the "variable"

• "previous term" multiplied by the "common ratio"

What is the explicit rule for this table?

• 1+2*n

• 1*2ⁿ

• 4*2ⁿ

• 4+2*n

What is the starting value in this sequence?

• 0

• 1

• 2

• 4

Which formula can be used to find the output (y-value) when the input (x-value) is 100?

• 0+4*(100)

• 4+2*(100)

• 2+4*(100)

• 0+2*(100)

What is the next term in this sequence?

• 14

• 12

• 10

• 20

What is the common difference for this arithmetic sequence?

• 1

• 2

• 4

• 6

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

• a_n = 10n + 17

• a_n = 7n - 17

• a_n = -7n + 17

• a_n = 7n + 3

Write the EXPLICIT rule for the arithmetic sequence 12, 10, 8, 6, ...

• a_n = 12n - 14

• a_n = 2n - 14

• a_n = -2n + 14

• a_n = -12n + 14

Write the EXPLICIT rule for the arithmetic sequence

• a_n = -4n + 5

• a_n = -9n + 14

• a_n = 9n - 5

• a_n = 4n + 5