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:
Mathematics, Natural Sciences, World Languages
Explanation:
The five requirements are as follows:
1. literacy
2. mathematics
3. humanities, fine arts, and social and behavioral sciences
4. natural sciences
5. world languages
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Answer:
Alexander Hamilton chose party over principle and attempted to ride the Federalist secessionist wave back into power.
Explanation:
The confidence interval did give convincing evidence that there is difference in the population mean number of pairs of shoes for boys and girls at the school.
<h3>Why does the confidence
interval did give convincing evidence?</h3>
The interval is one that gave a good convincing evidence, based on the fact that the number 0 stands as NO difference ( (girls boys) and thus it is = 0 ).
It is also not not included in this interval and as such, it can mean that the difference in the mean number of shoes owned by girls and the mean number of shoes owned by boys is 0 .
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