Arithmetic Sequences: Constant Difference, Explained
What a constant difference is, how the nth-term rule is derived rather than memorised, and why the sum of an arithmetic sequence is just pairing.
383 articles · page 8 of 16
Articles 169–192 of 383, newest first. The introduction to this reading list, its topic hubs and the guides other articles cite most are on the first page.
What a constant difference is, how the nth-term rule is derived rather than memorised, and why the sum of an arithmetic sequence is just pairing.
The documented sequence of 1915-16, the death-toll range museums give, who applies the term genocide and who rejects it, and why the dispute persists.
Ashoka is one of the few ancient rulers who left a first-person record in stone. What the edicts say, how they were deciphered, and where legend departs.
Abolition took decades and did not stop the traffic. What the archives record, what the 1807 Act changed, and how enslaved people forced the question.
What attention span actually means, what attention exercises reliably change, what the trials found about transfer, and what to do instead.
Reversing a sequence adds a second job on top of holding it. Why backward span runs shorter than forward span, and what that gap is actually telling you.
How linguistics, archaeology and archaeobotany reconstruct the Bantu expansion, what the latest classifications changed, and why the arrows on maps mislead.
Where the Black Death began, how plague actually travels, why one death rate cannot describe it, and the 1348-49 pogroms that followed it.
What systematic reviews actually found about computerised brain training in later life, and the four design features that decide whether a drill is usable.
How two or three people share a brain game that has no multiplayer: pass-the-device turns, matched difficulty, and the one genuinely shared artefact.
A capability comparison built only from each publisher's own pages, read 21 September 2026 (ours re-read 2 October) — including where ours is the wrong choice.
A ten-minute practice route for adults with no spare time: one timed sprint, one accuracy set, one technique and one memory round, plus the honest limits.
Nine claims people repeat about brain games, each answered briefly with what the evidence actually says and what a practice app does and does not do.
A five-thousand-event timeline is unusable in date order. Three practical entry routes — place, era and theme — and which question each one answers.
Round every price up, never to the nearest. Biased rounding keeps your running total above the real figure, which is the only property a budget needs.
Constantinople fell on 29 May 1453, roughly a millennium after the western empire ended. Why the answer depends on where you start counting.
Repeat a cognitive test and your score goes up. That is a measurement artefact, a real skill gain, or both — and telling them apart is the whole question.
Most so-called careless arithmetic errors are slips, not gaps in method, and the two need opposite fixes. A taxonomy plus a checking routine that takes seconds.
Triggers, preconditions, contributing causes and consequences are four different things. Here is the working vocabulary, plus a test you can apply to each.
How change detection tasks work, what change blindness does and does not prove, and why spotting a removed item depends on what you encoded.
The huge casualty figures quoted for China's great rebellions come from census registers. Here is what those registers measure, and what they cannot.
The dynastic sequence is easy to find and harder to trust. Here is the order, which parts rest on contemporary evidence, and which rest on later texts.
The Cholas built temples that still function and sent fleets across the Bay of Bengal. What the inscriptions support, and what historians still argue about.
A selection rule with a number attached, plus what a difficulty label physically changes in an arithmetic drill and in a memory round.