Students will learn how to find the formula of an arithmetic series, given its first few terms.
Sequences nth Term (part 1) by The Maths Prof
Next, give your students these challenges:
- 2020 Math Kangaroo Levels 5-6 Problem #29 by STEM4all
- 2000 AMC 8, Problem 9
- 2015 AMC 8, Problem 16
- 2000 AMC 8, Problem 2
- How Old Am I? by Pierce School: Problem / Solution
Odds, Evens and More Evens by NRICH: The key is to notice \(A_i = 2^i(2n - 1),\) and \(1000 = 2^35^3.\) Thus, the only sequence which includes \(1000\) is \(A_3.\)
Conclude by leading this investigation:
Jumping Frogs (patterns, counting, primes)
by MathPickle