What is the sum of the even integers between 200 and 400, inclusive?
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Quickest way for me: count the terms first, then average first and last times the count. Got 30,300 without much trouble.
Same approach. Just make sure you count how many even numbers are in the range correctly.
Yeah, average x number of terms is the move here.
Is there a trap with 'inclusive' here? I keep second-guessing whether 200 and 400 are both included.
Yes, both are included, so be careful when setting up your first and last terms.
This felt more like a 500-level question once you recognize it's an evenly spaced set. Nice confidence boost.
I got 60,300 at first because I counted all integers instead of only evens. Rookie mistake.
Happens to me all the time. Reading 'even integers' is the whole game.
Same here, glad I checked the wording before submitting.
What it tests
Your ability to spot and extend arithmetic and geometric sequences and work with recursive definitions.
Common trap
Off-by-one errors in indexing (a₀ vs a₁) or confusing an arithmetic difference with a geometric ratio.