Consider the first-order recurrence relationship defined by $T_n=2T_{n-1},T_1=2$Tn=2Tn−1,T1=2.
Determine the next three terms of the sequence from $T_2$T2 to $T_4$T4.
Write all three terms on the same line, separated by commas.
Plot the first four terms on the graph below.
Is the sequence generated from this definition arithmetic or geometric?
Arithmetic
Geometric
Neither
Consider the sequence plot drawn below.
Consider the sequence $9000,1800,360,72,\dots$9000,1800,360,72,…
Write a recursive rule for $T_n$Tn in terms of $T_{n-1}$Tn−1 and an initial condition for $T_1$T1.
Write both parts on the same line separated by a comma.
Consider the sequence $40$40, $20$20, $10$10, $5$5, $\text{. . .}$. . .