Aspire Faculty ID #17462 · Topic: UGC NET Computer Science June 2024 (Paper II) · Just now
UGC NET Computer Science June 2024 (Paper II)

Which of the following sequence ${a_n}$ are solution of recurrence relation

$a_n=8a_{n-1}-16a_{n-2}$

A. $a_n=1$
B. $a_n=2^n$
C. $a_n=4^n$
D. $a_n=n4^n$
E. $a_n=(-4)^n$

Solution

Characteristic equation


$r^2-8r+16=0$


$(r-4)^2=0$


$r=4$


General solution


$a_n=(c_1+c_2n)4^n$


Thus valid sequences:


$4^n$


$n4^n$

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