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:
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)