Sequences Quiz 2021

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes
• No

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes
• No

Find the common difference: -34, -29, -24, -19, ...

Identify the common difference.

97, 86, 75, 64, ...

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

Write the recursive formula for 4, 12, 20, 28...

•  $f\left(1\right)=4,\ f\left(n\right)=f\left(n-1\right)+\ 8$  

•  $f\left(1\right)\ =8,\ f\left(n\right)=f\left(n-1\right)+4$  

•  $f\left(1\right)\ =4,\ f\left(n\right)=f\left(n-1\right)+12$  

•  $f\left(1\right)=4,\ f\left(n\right)=f\left(n-1\right)-8$  

Write the explicit formula for -33, -23, -13, -3, ...

•  $\ f\left(n\right)\ =\ -33\ +\ 10\left(n-1\right)\$  

•  $\ f\left(n\right)\ =\ 33\ -\ 10\left(n-1\right)\$  

•  $\ f\left(n\right)\ =\ 10\ +\ 3\left(n-1\right)\$  

•  $\ f\left(n\right)\ =\ -3\ +\ 10\left(n-1\right)\$  

Given the first term and common difference find the next three terms.

f(1) = -10

d= 100

• 90, 190, 290

• 100, 90, 80

• -10, -110, -210

• 100, 110, 120

Find the common ratio.

64, -32, 16, -8...

Find the common ratio.

-1, -6, -36, -216...