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How to find the general term for the first 'n' terms of a geometric series
Here I'll be demonstrating **how to find the general term for the first 'n' terms of a geometric series**: Definitions: a = First term r = The common ratio Step 1: S_n = a + ar + ar^2 + ar^3 + ... + ar^(n-2) + ar^(n-1) Step 2: rS_n = ar + ar^2 + ar^3 + ar^4 + ... + ar^(n-1) + ar^n Step 3: S_n - rS_n = a - ar^(n) Step 4: S_n(1-r) = a(1-r^n) Step 5: S_n = [a(1-r^n)]/(1-r) Video: You can watch the video below to see the workings in more detail... https://youtu.be/__KeHwZR75E *Article by Tiago Hands:* ***https://www.instagram.com/tiago_hands*** *For more mathematics proofs, visit:* ***https://www.instagram.com/mathematics.proofs*** *For mathematics proofs videos, visit:* ***https://www.youtube.com/c/mathsvideosforweb/videos*** *Lead image: By* *Gitti Lohr* *from Pixabay* https://pixabay.com/users/Lohrelei-1422286/?utm_source=link-attribution&utm_medium=referral&utm_campaign=image&utm_content=1350343
3 comments
Good evening, Sir Tiago, thank u for sharing this article of yours here n seems like u like mathematics, especially geometry, when i was still studying sometimes i find it hard to understand mathematics, the figures, formulas or solution or the computation though glad i was able to pass that subject, lol, this one's helpful n informative n i'll see the link on instagram soon, Sir :)
this is very hard😐
it is very difficult to understand this formula especially about mathematics and many twists and turns anyway thank you very much for sharing it it is a great help for the weak in mathematics.