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Iterate a first-order recurrence

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
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Question 1 of 8

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The sequence below is indexed from zero

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

\[V_0=10\]
\[V_{n+1}=-\frac{2}{3}V_n-1\]

The multiplier is \(-\frac{2}{3}\) and the fixed change is \(-1\)

3 marks

Continue the sequence from \(V_0\) through \(V_{3}\). Give exact values. Integers, fractions and exact terminating decimals are accepted

n0123
\(V_n\)10???