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When difference is doubling
use 2ᴺ — 2, 4, 8, 16, 32
when the difference is being progressively added added ex:
use N2 — 1, 4, 9, 16, 25, 36
an (arithmetic) =
a1+(n-1)d
an (geometric) =
an = a1 • r (n - 1)
infinite geometric sum =
S = a / (1 - r)
certain # geometric sum =
a(1 - rn) / (1 - r)
1, 3, 5, 7 (adding 2)
2𝑛−1
sum of arithmetic sequence =
Sn=n(a1+an/2)