Recurrence Relations (Edexcel A-Level Mathematics): Quizzes

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Recurrence Relations
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10 questions from this quiz

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What does a recurrence relation define?

A sequence based on previous terms

Which areas commonly use recurrence relations?

Sequences, algorithm analysis, modelling

Which method solves linear recurrence relations by finding roots?

Characteristic equation

What do recurrence relations require to begin generating a sequence?

Initial terms like a0a_0 or a1a_1

For an=c1an−1+c2an−2a_n = c_1a_{n-1} + c_2a_{n-2}, what is the characteristic equation?

x2−c1x−c2=0x^2 - c_1x - c_2 = 0

Given u0=7u_0 = 7 and un+1=5un−un2u_{n+1} = 5u_n - u_n^2, what is u1u_1?

−14-14

If un=c+3n−2u_n = c + 3^{n-2} and u3=11u_3 = 11, what is cc?

88

Using un=8+3n−2u_n = 8 + 3^{n-2}, what is u6u_6?

8989

Given un=3(un−1−k)u_n = 3(u_{n-1} - k), u1=−4u_1 = -4, u3=7u2+3u_3 = 7u_2 + 3, find kk.

−5-5

With un=3(un−1−k)u_n = 3(u_{n-1} - k), u1=−4u_1 = -4, k=−5k = -5, what is u4u_4?

8787

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