Identifying and writing sequences

Find the n^th term of the following sequence...

4, 11, 18, 25...

• 7n+3

• 7n-3

• 3n+7

• 3n-7

Which formula is used to find the explicit equation for geometric sequences?

• $f\left(n\right)=f\left(n-1\right)+d$

• $f\left(n\right)=f\left(n-1\right)r$
  

• $f\left(n\right)=f\left(1\right)+d(n-1)$
  

• $f\left(n\right)=f\left(1\right)\cdot r^{\left(n-1\right)}$
  

Determine the common ratio of the geometric sequence graphed below.

• r=3

• r=4

• r=6

• r=8

What does a₁ represent?

• Any term

• First term

• Last term

• The nth term

Find a₂₀ in the arithmetic sequence: (Hint: Find explicit formula first)

5, 12, 19, 26...

• 145

• 144

• 142

• 138

Look at this series : 53,53,40,40,27,27,.. What number should come next?

• 12

• 14

• 27

• 53

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)

What rule is being used in the pattern below?
2, 4, 6, 8, 10, 12

• multiply by 2

• subtract 2

• add 2

• divide by 2