Find the Sum of the Sequence $$\sum _ { \mathrm { k } = 5 } ^ { 8 } \frac { 1 } { \mathrm { k } + 4 }$$

question 65

Multiple Choice

Find the sum of the sequence.
- $$\sum _ { \mathrm { k } = 5 } ^ { 8 } \frac { 1 } { \mathrm { k } + 4 }$$

• A) \(- \frac { 197 } { 210 }\)
• B) \(\frac { 624 } { 625 }\)
• C) 42
• D) \(\frac { 763 } { 1980 }\)

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Definitions:

Pancreas

A glandular organ in the digestive system and endocrine system which secretes digestive enzymes and hormones such as insulin.

Posterior Pituitary

An extension of the brain located at the base of the skull responsible for the secretion of hormones like oxytocin and vasopressin.

Metanephros

Most caudally located of the three excretory organs appearing during embryonic development; becomes the permanent kidney of mammals. In mammalian embryos, it is formed caudal to the mesonephros and develops later as the mesonephros undergoes regression.

Pronephros

In the embryos of higher vertebrates, a series of tubules emptying into the celomic cavity. It is a temporary structure in the human embryo, followed by the mesonephros and still later by the metanephros, which gives rise to the kidney.