Geometric Progression — Formula Sheet
Gujarat Board · Class 11 · Statistics
7 formulas from Geometric Progression (Gujarat Board Class 11 Statistics) on one page, grouped by topic. Includes Examples, General term formula and When.
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Formulas and Key Relations
Meaning and Definition of Geometric Progression
Examples
3, 6, 12, 24... (r = 2); 4, -12, 36, -108... (r = -3); 2, 1, 1/2, 1/4... (r = 1/2)
Formula for nth Term
General term formula
T(n) = ar^(n-1) where a is first term and r is common ratio
Geometric Series and Sum Formulas
Different formulas for r = 1 and r ≠ 1 cases
Key relations
The constant value by which each term is multiplied to get the next term. r = T(n+1)/Tn.
Tn = ar^(n-1), where 'a' is the first term, 'r' is the common ratio, and 'n' is the position of the term.
When r = 1: Sn = na.
When r ≠ 1
Sn = a(r^n - 1)/(r - 1) or Sn = (rTn - a)/(r - 1).
Full sheet with units and worked examples
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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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