Using the nth term rule Today we are

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Using the nth term rule Today we are learning how to: Generate the nth

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

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

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

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

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

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

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

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

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

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

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

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

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:

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

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

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

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?