Find the 7th term of the sequence {eq}1, \frac12, \frac14, \frac18, . . . {/eq}

## Question:

Find the 7th term of the sequence {eq}1, \frac12, \frac14, \frac18, . . . {/eq}

## Geometric progression

The series at which next term is a multiplicative of preceding term is called geometric progression. Each and every term is related by a constant factor that is multiplied in each and every term to gives us geometric progression.

## Answer and Explanation: 1

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Geometric progression:

{eq}1,\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}...... {/eq}

a = 1,r = {eq}\dfrac{1}{2} {/eq}

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Chapter 25 / Lesson 1Geometry studies the properties of shapes, solids, points, lines, and surfaces. To understand geometry, students need geometric thinking. Learn about the progression of geometric thinking, including visual, descriptive, analytic, and abstract stages.