Patterning - Number Patterns Advanced

74 Topics, 8 Skills

Next in Place Value Pattern

Topic 1

Missing from Place Value Pattern

Topic 2

Number Sequences - Arithmetic, First Terms

Topic 3

Number Sequences Identify - Arithmetic, First Terms

Topic 4

Number Sequences - Arithmetic, First Terms

Topic 5

Number Sequences - Polynomial, Specific Term

Topic 6

Number Sequences - Polynomial, First Terms

Topic 7

Term Value for Increasing Arithmetic Pattern

Topic 8

First Values from Rule for Decreasing Arithmetic Pattern

Topic 9

Next in Fibonacci Pattern

Topic 10

First Values from Rule for Geometric Pattern

Topic 11

Sums - Series of Integers 1 to N - Text to Addition

Topic 12

Digit Solving - Ones Digit in Exponents (Small Base) - From Power

Topic 13

Digit Solving - Ones Digit in Exponents (Large Base) - From Power

Topic 14

Sums - Series of Integers 1 to N - Summation Form to Text

Topic 15

Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power

Topic 16

Sums - Series of Integers 1 to N - Summation Form to Sum

Topic 17

Rule for Increasing Arithmetic Pattern

Topic 18

Next in Increasing Arithmetic Number Pattern

Topic 19

Rule from Equation for Increasing Arithmetic Pattern

Topic 20

Digit Solving - Ones Digit in Exponent Multiplication - Same Exponent (Small)

Topic 21

Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large)

Topic 22

Sums - Series of Integers 1 to N - Addition to Equation

Topic 23

Sums - Series of Integers 1 to N - Equation to Summation Form

Topic 24

Sums - Series of Integers 1 to N - Text to Sum

Topic 25

Sums - Series of Integers 1 to N - Equation to Sum

Topic 26

Sums - Series of Integers 1 to N - Summation Form to Sum

Topic 27

Number Sequences Identify - Arithmetic, First Terms

Topic 28

Number Sequences - Polynomial, Specific Term

Topic 29

Number Sequences Identify - Polynomial, First Terms

Topic 30

Term Value for Decreasing Arithmetic Pattern

Topic 31

Missing from Geometric Pattern

Topic 32

Missing from Geometric Pattern

Topic 33

First Values from Equation for Geometric Pattern

Topic 34

Digit Solving - Ones Digit in Exponents (Small Base) - From Power

Topic 35

Sums - Series of Integers 1 to N - Text to Summation Form

Topic 36

Sums - Series of Integers 1 to N - Addition to Summation Form

Topic 37

Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power

Topic 38

Sums - Series of Integers 1 to N - Text to Sum

Topic 39

First Values from Equation for Increasing Arithmetic Pattern

Topic 40

Rule for Decreasing Arithmetic Pattern

Topic 41

Term Value from Rule for Decreasing Arithmetic Pattern

Topic 42

Rule from Equation for Decreasing Arithmetic Pattern

Topic 43

Digit Solving - Ones Digit in Exponent Multiplication - Same Exponent (Small)

Topic 44

Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large)

Topic 45

Sums - Series of Integers 1 to N - Equation to Text

Topic 46

Sums - Series of Integers 1 to N - Summation Form to Addition

Topic 47

Sums - Series of Integers 1 to N - Addition to Sum

Topic 48

Sums - Series of Integers 1 to N - Text to Sum

Topic 49

Sums - Series of Integers 1 to N - Summation Form to Sum

Topic 50

Number Sequences - Polynomial, First Terms

Topic 51

Number Sequences Identify - Polynomial, First Terms

Topic 52

First Values from Rule for Increasing Arithmetic Pattern

Topic 53

Missing from Geometric Pattern

Topic 54

Next in Fibonacci Pattern

Topic 55

Rule for Geometric Pattern

Topic 56

Sums - Series of Integers 1 to N - Addition to Text

Topic 57

Digit Solving - Ones Digit in Exponents (Large Base) - From Power

Topic 58

Digit Solving - Ones Digit in Exponents (Large Base) - From Power

Topic 59

Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power

Topic 60

Sums - Series of Integers 1 to N - Addition to Sum

Topic 61

First Values from Equation for Decreasing Arithmetic Pattern

Topic 62

Term Value from Rule for Increasing Arithmetic Pattern

Topic 63

Next in Decreasing Arithmetic Pattern

Topic 64

Digit Solving - Ones Digit in Exponent Multiplication - Same Exponent (Small)

Topic 65

Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large)

Topic 66

Sums - Series of Integers 1 to N - Text to Equation

Topic 67

Sums - Series of Integers 1 to N - Equation to Addition

Topic 68

Sums - Series of Integers 1 to N - Summation Form to Equation

Topic 69

Sums - Series of Integers 1 to N - Equation to Sum

Topic 70

Sums - Series of Integers 1 to N - Addition to Sum

Topic 71

Sums - Series of Integers 1 to N - Equation to Sum

Topic 72

Number Sequences - Arithmetic, Specific Term

Topic 73

Number Sequences - Arithmetic, Specific Term

Topic 74

Sums - Series of Integers 1 to N - Summation Form to Equation

Level 1

This math topic practices finding equations that calculate the sum of series of integers from 1 up to a given number \( N \). It emphasizes deriving the direct formula \( \frac{n(n+1)}{2} \) for the sum of the first \( n \) numbers, based on given summation expressions. The exercises involve choosing the correct formula from multiple choice answers, requiring learners to manipulate and understand the summation notation and its corresponding equation for calculating series sums, as part of broader number pattern analysis skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Sums - Series of Integers 1 to N - Summation Form to Equation

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What equation would let you calculate this summation form?

n=118n\sum_{n=1}^{18}n

?