Use Summation Notation to Write the Sum $$8 + 16 + 32 + \ldots + 1024$$

question 24

Multiple Choice

Use summation notation to write the sum.? $$8 + 16 + 32 + \ldots + 1024$$ ?

• A) \(\sum _ { n = 1 } ^ { 8 } 8 ( 2 ) ^ { n + 1 }\)
• B) \(\sum _ { n = 1 } ^ { 8 } 8 ( 2 ) ^ { n - 1 }\)
• C) \(\sum _ { n = 1 } ^ { 8 } 8 ( 2 ) ^ { n }\)
• D) \[\sum _ { n = 1 } ^ { 7 } 8 ( 2 ) ^ { n - 1 }\]
• E) \(\sum _ { n = 1 } ^ { 8 } ( 2 ) ^ { n - 1 }\)

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Definitions:

Synovial Joint

A type of movable joint characterized by a space (joint cavity) containing synovial fluid, found in the knees, elbows, and other parts of the body.

Epiphyseal Plate

A layer of cartilage in long bones that is involved in bone growth and lengthening during childhood and adolescence.

Synovial Fluid

A thick, lubricating fluid found in the cavities of synovial joints, reducing friction between cartilage and other tissues in the joint to facilitate smooth movement.

Cartilaginous Joint

A cartilaginous joint is a type of joint where the bones are connected by cartilage, allowing for limited movement.