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In math, the geometric sum formula refers to the formula that is used to calculate the sum of all the terms in the geometric sequence. The two geometric sum formulas are: The geometric sum formula for finite terms: If r = 1, Sn = an and if r≠1,Sn=a(1−rn)/1−r. The geometric sum formula for infinite terms: Sn=a1−r.

Considering a geometric sequence whose first term is 'a' and whose common ratio is 'r', the geometric sequence formulas are: The nth term of geometric sequence = a rn-1. The sum of first 'n' terms of geometric sequence is: a (1 - rn) / (1 - r), when |r| < 1. [OR] ... The sum of infinite geometric sequence = a / (1 - r).

Formulas for 2D Geometry: Perimeter of a Square = 4 × Side. Perimeter of a Rectangle = 2 × (Length + Breadth) Area of a Square = Side² Area of a Rectangle = Length × Breadth. Area of a Triangle = ½ × Base × Height. Area of a Trapezoid = ½ × (Base₁ + Base₂) × Height. Area of a Circle = A = π × r²

2D Geometry Formulas Perimeter of a Square = 4(Side) Perimeter of a Rectangle = 2(Length + Breadth) Area of a Square = Side2 Area of a Rectangle = Length × Breadth. Area of a Triangle = ½ × base × height. Area of a Trapezoid = ½ × (base1 + base2) × height. Area of a Circle = A = π×r2 Circumference of a Circle = 2πr.

Writing Formulas for Geometric Sequences The general form of the geometric sequence formula is: an=a1r(n−1), where r is the common ratio, a1 is the first term, and n is the placement of the term in the sequence. Here is a geometric sequence: 1,3,9,27,81,…

Use memory techniques: Connecting concepts to visual memory makes them easier to remember. Adding a visual to every concept you want to remember makes it easier to recall later. Try to imagine the number and letters in the formula as a story. Make a story for each formula.

2D Shapes Formulas 2D ShapeArea FormulaPerimeter Formula Parallelogram Area=b×h Perimeter=2(a+b) Trapezoid Area=(a+b)h2 Perimeter=a+b+c+d Circle Area=πr2=πd24 Circumference=2πr=πd Sector of Circle A=s2πr.πr2=12sr [2r+θ360o×(2π×r)]5 more rows • May 3, 2023