The expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)
<h3>How to solve Geometric series?</h3>
We are given the series;
3/2 + 3/4 + 3/8 + 3/16 +.....
Formula for the nth term of a geometric series is;
aₙ = ar^(n - 1)
where;
a is first term
r is common ratio
From our given series;
a = ³/₂
r = (³/₄)/(³/₂) = ¹/₂
We know that Sum of GP when n < 1 is;
Sₙ = a(1 - rⁿ)/(1 - r)
Thus;
Sₙ = ³/₂(1 - ¹/₂ⁿ)/(1 - ¹/₂)
Sₙ = 3(1 - ¹/₂ⁿ)
Thus, the expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)
Read more about Geometric Series at; brainly.com/question/24643676
#SPJ1
The correct answer is - D. secondary consumers.
As the snake is a predator, it falls into the category of the tertiary consumers, which means that it mostly feeds on the secondary consumers, in this case, the mice.
If the snakes are eliminated from the suggested food chain, than the main increase in numbers will be witnessed at the secondary consumers, the mice in this case, as they will lose one of their prime predators.
Since less mice will be eaten, as the owls will be their only predator, more mice will reproduce, thus their numbers will increase significantly.
Science is not testable is not a characteristic of science.
The omitted options include :
- science is a process.
- science is a body of knowledge.
- science must follow the scientific method.
- science is not testable.
<h3>What is a Scientific method? </h3>
A scientific method refers to the step by step process that scientists must follow in order to give scientific explanation of a phenomena or invention of an idea that is testable.
The scientific method includes:
- Observation
- Constructing a hypothesis/ testable explanation
- Conducting experiments to test the hpothesis
- Formulation of theories based on experiments
- Conducting further experiments and research
- Making conclusions/Formulation of laws.
- Reporting, and evaluating.
Thus, the characteristics of science include:
- science is a process.
- science is a body of knowledge.
- science must follow the scientific method.
Therefore it is wrong to say that science is not testable.
Read more on scientific methods here: brainly.com/question/26174465
Answer:
Ending a speech abruptly is an excellent way to reinforce the speaker's central idea. It is usually best to let a conclusion grow out of the inspiratio…
Explanation: