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Determine the value(s) of x for which k converges

Mathematics

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Question 1.1

Step 1: Calculate first differences.

u1=16u2=30,Δ1=30−16=14u3=48,Δ2=48−30=18u4=70,Δ3=70−48=22\begin{align*} & u_1 = 16 \\ & u_2 = 30, \quad \Delta_1 = 30 - 16 = 14 \\ & u_3 = 48, \quad \Delta_2 = 48 - 30 = 18 \\ & u_4 = 70, \quad \Delta_3 = 70 - 48 = 22 \end{align*}

Step 2: Calculate second differences.

\begin{align*} & \Delta^2_1
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