Find the Sum $$\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } 5 \cdot 7 ^ { \mathrm { k } - 1 }$$

question 61

Multiple Choice

Find the sum.
- $$\sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } 5 \cdot 7 ^ { \mathrm { k } - 1 }$$

• A) \(- \frac { 5 } { 6 } \left( 1 - 7 ^ { n - 1 } \right)\)
• B) \(- 5 \left( 1 - 7 ^ { n } \right)\)
• C) \(- \frac { 5 } { 6 } \left( 1 - 7 ^ { n } \right)\)
• D) \(- 30 \left( 1 - 7 ^ { n } \right)\)

---

Definitions:

Oxytocin

A hormone and neurotransmitter involved in childbirth and lactation, also known to play a role in bonding, social behaviors, and stress relief.

Epigenetic Marks

Chemical modifications to DNA or histones that can affect gene activity without changing the DNA sequence, often as a result of environmental factors.

Gene Expression

The process by which the information encoded in a gene is used to direct the assembly of a protein molecule, influencing an organism's traits.

Neurotransmitters

Chemical substances in the nervous system that transmit signals from one neuron to another.