1 of 8 0-day streak

Iterate a first-order recurrence

Question 1 of 8

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Use the following first-order recurrence sequence

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

V_0=7

V_{n+1}=-\frac{2}{3}V_n-4

The multiplier is \(-\frac{2}{3}\) and the fixed change is \(-4\)

5 marks

Complete the consecutive term table. Enter every missing value exactly. Integers, fractions and exact terminating decimals are accepted

n	0	1	2	3	4	5
\(V_n\)	7	?	?	?	?	?

\(V_{1}\) \(V_{2}\) \(V_{3}\) \(V_{4}\) \(V_{5}\)