Using the nth term rule Today we are

UNLOCK THE KNOWLEDGE Here is my Maths 3 n machine. Can you explain what

UNLOCK THE KNOWLEDGE Here is my Maths n-5 machine. Can you explain what it

UNLOCK THE KNOWLEDGE Here is my broken Maths machine. It spurts out the inputs

WHAT YOU NEED TO KNOW n stands for the input values. n stands for

WHAT YOU NEED TO KNOW n+8 This rule tells me I have to add

MODEL IT Find the nth term of the following sequences My turn: Your turn:

DO NOW ACTIVITY What we have studied before: What we are studying now: A

DO NOW ACTIVITY What we have studied before: 5 n - 4 3 n

MAKE IT HARDER! Is 40 a term in the sequence 2 n? Is 54

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Using the nth term rule Today we are learning how to: Generate the nth term rule for a sequence Substitute numbers into a given expression

STARTER DRILL

UNLOCK THE KNOWLEDGE Here is my Maths 3 n machine. Can you explain what it is doing to my numbers? 1 3

UNLOCK THE KNOWLEDGE Here is my Maths 3 n machine. Can you explain what it is doing to my numbers? 2 6

UNLOCK THE KNOWLEDGE Here is my Maths 3 n machine. Can you explain what it is doing to my numbers? 12 36

UNLOCK THE KNOWLEDGE Here is my Maths n-5 machine. Can you explain what it is doing to my numbers? 2 -3

UNLOCK THE KNOWLEDGE Here is my Maths n-5 machine. Can you explain what it is doing to my numbers? 10 5

UNLOCK THE KNOWLEDGE Here is my broken Maths machine. It spurts out the inputs but won’t tell me the rule. 1 5

UNLOCK THE KNOWLEDGE Here is my broken Maths machine. It spurts out the inputs but won’t tell me the rule. 2 11

UNLOCK THE KNOWLEDGE Here is my broken Maths machine. It spurts out the inputs but won’t tell me the rule. 3 17

UNLOCK THE KNOWLEDGE Here is my broken Maths machine. It spurts out the inputs but won’t tell me the rule. 10 59

WHAT YOU NEED TO KNOW n stands for the input values. n stands for any number. The rule tells us how to create the sequence. n+3 n n+3 1 2 3 4 4 5 6 7 The sequence A function machine is used as an easy way of creating a sequence. Each number in the sequence is called a term. The 1 st term is 4, the 2 nd term is 5, the 3 rd term is 6, …

WHAT YOU NEED TO KNOW n+8 This rule tells me I have to add 8 to the input values to get my sequence 8 n - 3 6 n This rule tells me I have to multiply the input values by 6 to get my sequence This rule tells me I have to multiply the input values by 8 and then subtract 3 to get my sequence

MODEL IT Find the nth term of the following sequences My turn: Your turn: Find the first 3 terms of the rule 3 n - 2 of the rule 2 n + 1

DO NOW ACTIVITY What we have studied before: What we are studying now: A brief move away from linear sequences:

DO NOW ACTIVITY What we have studied before: 5 n - 4 3 n + 1 6 n + 1 -4 n + 39 What we are studying now: 66 123 156 10 A brief move away from linear sequences: 99 517

MAKE IT HARDER! Is 40 a term in the sequence 2 n? Is 54 a term in the sequence generated by 4 n + 3? What value of n gives 6 n – 3 a value of 57?