1 of 8 0-day streak

Iterate a first-order recurrence

Question 1 of 8

Calculator allowed

The terms of a sequence are generated one at a time

\(V_0\) is the initial term, and \(V_n\) is the term after \(n\) applications of the rule

V_0=12

V_{n+1}=\frac{2}{3}V_n

The multiplier is \(\frac{2}{3}\) and the fixed change is \(0\)

4 marks

Continue the sequence from \(V_0\) through \(V_{4}\). Give exact values. Integers, fractions and exact terminating decimals are accepted

n	0	1	2	3	4
\(V_n\)	12	?	?	?	?

\(V_{1}\) \(V_{2}\) \(V_{3}\) \(V_{4}\)