Identifying and writing sequences

Find the general term of the sequence.

• A

• B

• C

• D

Tags

CCSS.HSF.BF.A.2

A sequence is arithmetic. Find an explicit formula for the sequence given that

 $a\left(4\right)\ =\ 386\ and\ a\left(11\right)\ =\ 302$  

•  $a\left(n\right)\ =\ 386\ -\ 11\left(n-1\right)$  

•  $a\left(n\right)\ =\ 434\ -\ 12n$  

•  $a\left(n\right)\ =\ 422\ -\ 11n$  

•  $a\left(n\right)\ =\ 410\ -\ 12\left(n-1\right)$  

Tags

CCSS.HSF.BF.A.2

If a₁ = 3 and a_n = -2 (a_n-1) + 1, then a₅ =

• -5

• 11

• 21

• 43

Tags

CCSS.HSF.BF.A.2

Which formula is a recursive equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

The first three terms of an arithmetic sequence are as follows.

3, -4, -11

Find the next two terms of this sequence

• -17 and -25

• -18 and -26

• -18 and -25

• -17 and -26

Tags

CCSS.HSF.BF.A.2

Use the explicit formula to find the 3rd term of the sequence.
 $a_n=128\cdot\left(\frac{1}{2}\right)^{\left(n-1\right)}$  

• 64

• 32

• 16

• 8

Tags

CCSS.HSF.BF.A.2

Write a recursive rule and an explicit rule for each geometric sequence, and then find the next

three terms. 1024, 512, 256,… Just place the next three terms separated by a comma.

Tags

CCSS.HSF.BF.A.2

Find the first term in the sequence for which  $a_{16}=224\ and\ d=4$  

•  $228$  

•  $220$  

•  $168$  

•  $164$  

•  $160$  

Tags

CCSS.HSF.BF.A.2

4) -2,2,6…, 8th term

Tags

CCSS.HSF.BF.A.2

• 19.5

• 20

• 21

• 22

• 23

Tags

CCSS.HSF.BF.A.2