Write the Sum Using Summation Notation $$\frac { 1 } { 5 } + \frac { 4 } { 3 } + \frac { 27 } { 7 } + \ldots + \frac { n ^ { 3 } } { n + 4 }$$

question 198

Multiple Choice

Write the sum using summation notation.
- $$\frac { 1 } { 5 } + \frac { 4 } { 3 } + \frac { 27 } { 7 } + \ldots + \frac { n ^ { 3 } } { n + 4 }$$

• A) \(\sum _ { i = 0 } ^ { n } \frac { i ^ { 3 } } { i + 4 }\)
• B) \(\sum _ { i = 1 } ^ { n } \frac { n ^ { 3 } } { n + 4 }\)
• C) \(\sum _ { i = 1 } ^ { n + 1 } \frac { i ^ { 3 } } { i + 4 }\)
• D) \(\sum _ { i = 1 } ^ { n } \frac { i ^ { 3 } } { i + 4 }\)

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Definitions:

Internal Iliac Vein

A vein that drains blood from the pelvis and lower limbs back towards the heart, merging with the external iliac vein to form the common iliac vein.

Femoral Vein

A major blood vessel in the thigh that carries deoxygenated blood from the lower limb back to the heart.

Anterior Tibial Vein

The anterior tibial vein is a blood vessel that drains oxygen-depleted blood from the front portion of the lower leg to the popliteal vein.

Elastic Tissue

A type of connective tissue composed of elastic fibers that allows many tissues in the body to resume their shape after stretching or contracting.