Solve the problem relating to the Fibonacci sequence.
-$\mathrm { F } _ { 28 } = 317,811 , \mathrm {~F} _ { 30 } = 832,040$
Find $\mathrm { F } _ { 29 }$.
A) $F _ { 29 } = 1,346,269$
B) $F _ { 29 } = 1,149,851$
C) $F _ { 29 } = 514,229$
D) $F _ { 29 } = 196,418$

Question

Quizplus · Accepted Answer

The Fibonacci sequence is defined by the recurrence relation $F_n = F_{n-1} + F_{n-2}$, with initial conditions $F_0 = 0, F_1 = 1$. Given $F_{28} = 317,811$ and $F_{30} = 832,040$, we can find $F_{29}$ by rearranging the recurrence relation: $F_{30} = F_{29} + F_{28}$. Substituting the given values, $832,040 = F_{29} + 317,811$, solving for $F_{29}$ gives $F_{29} = 832,040 - 317,811 = 514,229$.

Solve the Problem Relating to the Fibonacci Sequence F28=317,811, F30=832,040\mathrm { F } _ { 28 } = 317,811 , \mathrm {~F} _ { 30 } = 832,040F28​=317,811, F30​=832,040

Solve the Problem Relating to the Fibonacci Sequence $\mathrm { F } _ { 28 } = 317,811 , \mathrm {~F} _ { 30 } = 832,040$