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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 Lighthouse Learning