Alternating series Memes

The ultimate math gang rivalry! On the red side, we have (-1) n+1 which alternates as +1, -1, +1, -1... while the blue side represents -(-1) n which alternates as -1, +1, -1, +1... These expressions are mathematical opposites - always yielding opposite signs for the same value of n. It's literally the nerdiest turf war ever fought with exponents instead of weapons. Choose your faction wisely - your mathematical street cred depends on it!

The mathematical bamboozle strikes again! This student confidently answers "absolutely" when asked if the alternating harmonic series converges, triggering the teacher's pirate-like "Well yes, but actually no" response. The series shown (∑(-1)^n/n) is the famous alternating harmonic series which DOES converge (to -ln(2), for the math nerds keeping score), but the student clearly has no clue and just answered confidently. It's that perfect math classroom moment where someone's random guess accidentally lands on the correct answer for entirely wrong reasons. The teacher's shocked face says it all - correct answer, zero understanding. This is basically mathematical Russian roulette!