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
Conclude by giving your students this challenge. 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 giving your students this challenge:
Bugs in the Garden by NRICH
Conclude by leading this investigation:
Armenian Rug Puzzles (logic)
by MathPickle