Option B is the answer
Step-by-step explanation:
Assuming it is a geometric series
A geometric series will converge if -1< r < 1 written as |r| < 1 .That is if the common ratio is between -1 and 1 like 1/2...For example : 1/2 + 1/4 + 1/8 + ...
if the common ratio, r is greater than 1 or less than -1, the terms of the series become larger and larger in magnitude. The sum of the terms also gets larger and larger, and the series has no sum. The series diverges. For example : 4+ 40+ 400+ 4000 +... The common ration here is 10 and the series diverges. That implies that option C and D are out
For example :
If is r is equal to 1 , that is |r|=1 , all of the terms of the series are the same. For example , 2+2+2+2+... The series diverges.
And the first term doesn't affect the convergence of the series..that implies that option A is out
A series converges if and only if the absolute value of the common ratio is less than one: |r|<1
D I think so do not get mad if I am wrong
The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
<h3>Writing linear inequalities </h3>
From the question, we are to match the statements with the corresponding inequalities
- Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall
x ≤ 100 -5
x ≤ 95
- Temperature(x) is greater than the boiling point of water (100 °C)
x > 100
- John buys x chocolates worth $5 each but he has only $100 in his pocket
5x ≤ 100
- Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day
x ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
Learn more on Writing inequalities here: brainly.com/question/1447311
#SPJ1
100-64=36 percent wrong
if 36% is 18 questions
then, 36/18=2
every question is 2% grade
100/2=50 questions in total
