The relationship between employment levels and prices during economic cycles that's shown by the graph is D. As unemployment rates rise, average prices fall.
It should be noted that demand has an influence on the increase or decrease in the price of a product. In this case, an increase in demand will lead to an increase in the price of a product.
On the other hand, a reduction in demand will lead to a reduction in price. Therefore, when there's an increase in the unemployment rate, there'll be a reduction in the number of goods demanded by people and therefore, the average prices will fall.
Therefore, as unemployment rates rise, average prices fall.
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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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