Find the First Term and the Common Ratio for the Geometric

question 73

Multiple Choice

Find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth.
- $$a _ { 2 } = 4.5 , a _ { 7 } = 34.17$$

• A) \(\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 0.67\)
• B) \(\mathrm { a } _ { 1 } = 34.17 , \mathrm { r } = 0.67\)
• C) \(\mathrm { a } _ { 1 } = 4.5 , \mathrm { r } = 1.5\)
• D) \(a _ { 1 } = 3 , r = 1.5\)

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Definitions:

Loop of Henle

The U-shaped loop of a mammalian kidney tubule that extends down into the renal medulla.

Sodium

A chemical element (Na) that is essential for human health, notably in the regulation of fluids and blood pressure.

ADH

Antidiuretic Hormone, also known as vasopressin; a hormone released by the pituitary gland that regulates water balance in the body by reducing urine output.

Collecting Duct

Part of the nephron in the kidney that is responsible for the concentration of urine and the reabsorption of water into the bloodstream.