CS453 Bonus Assignment Solved

Description

observe that 5! = 120 and 2⁷ = 128.  Thus,

.

We observe that

1 < 1.0667 < 1 + 10⁻¹.

For 𝑛 bonus points, find positive integers 𝑝 > 7 and 𝑞 > 5 such that

1 < 2𝑝 < 1 + 10−(𝑛+1).

𝑞!