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(12C Platinum) Geometric Progression - Gamo - 01-23-2019 05:52 AM
ALG mode solution for Geometric Progression
a = First Term
r = Common Ratio
n = nth Term
S = a + ar + ... + ar^n-1
Where S = a(1-r^n) / 1-r
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Procedure:
a [R/S] r [R/S] n [R/S] display S
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Example:
Find the sum of the geometric series
8 - 4 + 2 - 1 + ...
where there are 5 terms in the series
8 [R/S] display 8.00
.5 [CHS] [R/S] display -0.50
5 [R/S] display 5.5
Answer: The 5 terms is 5.5
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Program: ALG mode
Quote:[STO] 0 [R/S]
[STO] 1 [Y^X] ( [R/S] [-] 1 ) [x] [RCL] 0 [=]
[x] [RCL] 1 [-] [RCL] 0 [รท] ( [RCL] 1 [-] 1 ) [=]
Gamo