Using the nth term rule Today we are
- Slides: 19
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
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?
- Insidan region jh
- Rules in finding the nth term
- Linear and quadratic sequences
- An=a1(r)^n-1
- Nth term test
- Nth term
- Geometric rule
- Sum of gp formula
- Nth term starter
- Term-to-term rule
- Are geometric sequences exponential
- Quadratic formula for sequences
- Writing arithmetic sequences
- Nth term formula
- Sequences formulas
- Arithmetic sequence
- Geometric sequence formula for the nth term
- Geometric series exercises
- Geometric sequence graphing calculator
- Find a gp