Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( x - 6 ) ^ { n }$$

question 148

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( x - 6 ) ^ { n }$$

• A) \(6 < x < 7\)
• B) \(5 < x < 6\)
• C) \(- 6 < x < 6\)
• D) \(5 < x < 7\)

---

Definitions:

Greensboro Sit-in

A civil rights protest in 1960 where African American students sat at a segregated Woolworth's lunch counter in Greensboro, North Carolina, demanding service.

Arms Race

A competition between nations for superiority in the development and accumulation of weapons, especially between the United States and the Soviet Union during the Cold War.

Lunch Counter

A counter, typically in a diner or pharmacy, where customers can sit and order food, historically significant in the American civil rights movement due to sit-ins at segregated counters.

DDT

A synthetic pesticide once widely used for controlling insects, later banned in many countries due to environmental and health concerns.