Sequences I

What does  $T_n$  represent?

• The $n^{th}$  term in a sequence

• The position of the term in the sequence

• The first term of the sequence

• The term of the sequence that we need to find

What does  $n$  represent?

• The $n^{th}$  term in a sequence

• The position of the term in the sequence

• The first term of the sequence

• The term of the sequence that we need to find

What does  $T_1$  represent?

• The $n^{th}$  term in a sequence

• The position of the term in the sequence

• The first term of the sequence

• The term of the sequence that we need to find

The third term in the sequence is 43. This can be rewritten as  $T_n=43$  

• True

• False

If a sequence is 8,6,4,2,... what is the value of  $2T_5-T_3$  

• 0

• 4

• 2

• -4

If a sequence is defined by the rule $T_n=4n-2$ , find the value of  $T_{10}+T_6$  

• 84

• 68

• 72

• 60

If a rule is defined by $T_{n+1}=4T_n+7,T_1=60$  , then the following is the working to determine  $T_3$  

•  $T_3=4T_2+7$  and you would need to work out  $T_2$  first in order to be able to do this

•  $T_3=4T_1+7$  

•  $4\times60+7$  

A sequence is 10,15,20,25,30,....
The matching recursive rule is:

•  $T_{n+1}=T_n-5,\ T_1=10$  

•  $T_n=T_{n-1}+5,\ T_1=10$  

•  $T_{n+1}=T_n+5$  

•  $T_n=T_{n+1}+5,\ T_1=10$  

If I was to write a recursive rule as $Tn+1=Tn\times4$  for a test, I would lose marks because (select all answers that apply):

• The  $n$  and  $n+1$  are not written as subscripts (i.e. written small)

• I should be writing the  $4$   in front of the  $Tn$  instead of after as it the correct way to represent multiplication

• I don't have the first term written after a comma

For the recursive equation  $T_{n+2}=T_{n+1}+T_n,\ T_1=3$  and  $T_2=7$  , then the working out to find  $T_3$  is:

•  $T_3=T_1+T_1=3+3=6$  

•  $T_3=T_2+T_1=7+3=10$