Arithmetic Sequences 2

Multiple Choice

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

• $$a_n=9+5\left(n-1\right)$$

• $$a_n=9-4\left(n-1\right)$$

• $$a_n=4+9\left(n-1\right)$$

• $$a_n=9\cdot4^{\left(n-1\right)}$$

Multiple Choice

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)

• a_n = -3 + 30(n -1)

• a_n = -30 - 3(n -1)

• a_n = -30 + 3(n -1)

Multiple Choice

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)

• a_n = -23 - 7(n -1)

• a_n = 7 - 23(n -1)

• a_n = 7 + 23(n -1)

Multiple Choice

Select the explicit rule that represents the sequence.

• a(n) = 14(-3)(n - 1)

• a(n) = 3 + (n - 1)(14)

• a(n) = 14 + (n - 1)(-3)

• a(n) = -3 + (n - 1)(14)

Multiple Choice

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

Multiple Choice

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3

Multiple Choice

What is the explicit formula for the sequence?

6, -14, -34, -54, ....

• $$a_n=6\ +\ -18\left(n\ +1\right)$$

• $$a_n=6\ +\ -20\left(n-1\right)$$

• $$a_n=6\ +\ 20\left(n-1\right)$$

• $$a_n=\ 6\ +\ 18\left(n\ -1\right)\$$

Multiple Choice

What is the explicit formula?

-13, -213, -413, -613, ...

• $$a_n\ =\ -214\ +\ 201\left(n-1\right)$$

• $$a_n=-13\ +\ -201\left(n-1\right)$$

• $$a_n=-214\ +\ -201\left(n-1\right)$$

• $$a_n=-13\ +\ -200\left(n-1\right)$$

Multiple Choice

What is the explicit formula?

5, -3, -11, -19, ...

• $$a_n\ =\ 5\ +\ -6\left(n-1\right)$$

• $$a_n=5\ +\ -8\left(n-1\right)$$

• $$a_n=5\ +\ 6\left(n-1\right)$$

• $$a_n=11\ +\ 6\left(n-1\right)$$

Multiple Choice

What is the explicit formula?

20, -80, -180, -280, ...

• $$a_n\ =\ 20\ +\ -100\left(n-1\right)$$

• $$a_n=20\ +\ -98\left(n-1\right)$$

• $$a_n=20\ +\ -99\left(n-1\right)$$

• $$a_n=20\ +\ -96\left(n-1\right)$$

Multiple Choice

What is the explicit formula?

2, 11, 20, 29, ...

• $$a_n\ =\ -5+\ -7\left(n-1\right)$$

• $$a_n=2+\ -7\left(n-1\right)$$

• $$a_n=2\ +\ 7\left(n-1\right)$$

• $$a_n=2\ +\ 9\left(n-1\right)$$

Multiple Choice

What is the explicit formula? 

21, 25, 29, 33, ...

• $$a_n\ =\ 20+\ 4\left(n-1\right)$$

• $$a_n=20+\ 6\left(n-1\right)$$

• $$a_n=21\ +\ 4\left(n-1\right)$$

• $$a_n=22\ +\ 4\left(n-1\right)$$

Multiple Choice

Write a recursive rule for the sequence -10, -3, 4, 11, ...

• a_n = a_n-1 - 7

• a_n = a_n-1 + 8

• a_n = a_n-1 - 8

• a_n = a_n-1 + 7

Multiple Choice

A sequence is shown below.

-20, -17, -14, -11, -8, ...

Which explicit equation can be used to determine the value of the nth term in the sequence?

• a_n = n + 3

• a_n = 3n + 23

• a_n = n - 23

• a_n = 3n - 23

Multiple Choice

A sequence is shown below:

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

• a_n = 3 - 11(n - 1)

• a_n = 2 + 3(n - 1)

• a_n = 11 - 3(n - 1)

• a_n = 3 + 2(n - 1)

Multiple Choice

A sequence is shown below:

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

• a_n = 3 - 11(n - 1)

• a_n = 2 + 3(n - 1)

• a_n = 11 - 3(n - 1)

• a_n = 3 + 2(n - 1)