Download Regan drew a number of different shapes with 5 sides

Patterns and Algebra
Sun
To find the sum of the numbers in an arithmetic progression, use the
following formula:
s= n x(b+e)
2
s= the total (sum) when you add the numbers in the sequence
n= the number of terms in the sequence divided by 2
2
b= the beginning number (1st term) of the sequence
e= the end number (last term) of the sequence.
Can you use the formula to find the sum of the terms in some
arithmetic progressions?
What is the question asking?
What equipment could help you with this task?
Can you use digital technology to investigate and record answers?
Can you use the formula to find the 20th and 30th terms?
How can you check if you are right?
Can you try with different sequences?
PAS3.1a
* Records, analyses and describes geometric and number patterns that involve one operation using tables and
words
PAS3.1b
* Constructs, verifies and completes number sentences involving the four operations with a variety of numbers
MA3-8NA
 Analyses and creates geometric and number patterns, constructs and completes number sentences, and
locates points on the Cartesian plane
MA3-2WM
 Selects and applies appropriate problem solving strategies, including the use of digital technologies, in
undertaking investigations
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