Answer:
see explanation
Step-by-step explanation:
(1)
The common ratio r of a geometric sequence is
r = = , so
= ( cross- multiply )
(x + 1)² = x(x - 1) ← expand both sides
x² + 2x + 1 = x² - x ( subtract x² - x from both sides )
3x + 1 = 0 ( subtract 1 from both sides )
3x = - 1 ( divide both sides by 3 )
x = -
(2)
r = = = = -
(3)
If - 1 < r < 1 then the sequence will converge
r = - meets this criteria , thus the sequence is convergent
<span>Provided that no one can receive more than one prize, there are 50*49*48= 117600 ways to distribute the prizes. The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48, multiplying these possibilities together leads to the answer.</span>
Answer:
2 hours and 30 minutes
Step-by-step explanation:
Want a little trick to solve problems like these? Use military time
1:45 = 13:45
1345-11:15 = 2:30
Answer:
Step-by-step explanation:
4% of $2500 is 100. So, each year he earns $100 from interest, which means 100(interest) * 5(years) = 500.
I hope this helps! Have a nice day and please mark me as brainliest!!
~abelxoconda