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)
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Answer:
The question is:
The following function, L, gives the approximate percent literacy rate in India t years after 1900.
L(t)=5.3 x 1.025^t
Which of the following equivalent functions shows, as a constant or coefficient, the approximate number of years it took for the literacy rate to triple?
(a) L(t)=5.3 x 3^t/44.5
(b) L(t)=5.3 x 1.077^t/3
(c) L(t)=5.3 x 1.008^3t
(d) L(t)=3 x 1.025^t+23
Explanation:
There are lots of theories. Auguste Comte is known to formulate the Normative doctrine.
<h3>What is the Normative doctrine about?</h3>
Auguste Comte is one who was said to have envisioned a kind of ideal society where there is positivism and sociology that is eminent and also is higher and supreme.
He believed that sociological-scientific priests would tend to control using reasons. Comte in course of living did see himself as a prophet of this new religion that he had talk about.
Comte as a positivist, is one who believed in the natural instead of the supernatural, and so he stated that his time of around 1800s, was the positivist stage.
Learn more about Auguste Comte from
brainly.com/question/4303770
Speed = distance/time
20 miles divided by 4 hours = 5 mph
ANSWER : 5mph
