Question

Which of the following recurrence relations corresponds to the sequence 1, 1, 3, 11, 53,...? $\bigcirc$ $a_1 = 1$ $a_2 = 1$ $a_n = (n - 1) \cdot a_{n-1} + a_{n-2}$ for $n \ge 3$ $\bigcirc$ $a_1 = 1$ $a_2 = 1$ $a_n = (n - 1) \cdot a_{n-1} + (n - 2) \cdot a_{n-2}$ for $n \ge 3$ $\bigcirc$ $a_1 = 1$ $a_2 = 1$ $a_n = 2 \cdot a_{n-1} + a_{n-2}$ for $n \ge 3$ $\bigcirc$ $a_1 = 1$ $a_2 = 1$ $a_n = a_{n-1} + a_{n-2} + 1$ for $n \ge 3$

          Which of the following recurrence relations corresponds to the sequence 1, 1, 3, 11, 53,...?
$\bigcirc$ $a_1 = 1$
$a_2 = 1$
$a_n = (n - 1) \cdot a_{n-1} + a_{n-2}$ for $n \ge 3$
$\bigcirc$ $a_1 = 1$
$a_2 = 1$
$a_n = (n - 1) \cdot a_{n-1} + (n - 2) \cdot a_{n-2}$ for $n \ge 3$
$\bigcirc$ $a_1 = 1$
$a_2 = 1$
$a_n = 2 \cdot a_{n-1} + a_{n-2}$ for $n \ge 3$
$\bigcirc$ $a_1 = 1$
$a_2 = 1$
$a_n = a_{n-1} + a_{n-2} + 1$ for $n \ge 3$

Which of the following recurrence relations corresponds to the sequence 1, 1, 3, 11, 53,...?
◯ a1 = 1
a2 = 1
an = (n - 1) · an-1 + an-2 for n ≥ 3
◯ a1 = 1
a2 = 1
an = (n - 1) · an-1 + (n - 2) · an-2 for n ≥ 3
◯ a1 = 1
a2 = 1
an = 2 · an-1 + an-2 for n ≥ 3
◯ a1 = 1
a2 = 1
an = an-1 + an-2 + 1 for n ≥ 3

Added by Abigail M.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Sri K

06/30/2023

Step 1

.., we can see that the first two terms are 1 and 1. Show more…

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Which of the following recurrence relations corresponds to the sequence 1, 1, 3, 11, 53, ...? a_(1) = 1 a_(2) = 1 a_(n) = (n-1)*a_(n-1) + a_(n-2) for n >= 3 Which of the following recurrence relations corresponds to the sequence 1, 1, 3, 1, 53, ...? a_(1) = 1 a_(2) = 1 a_(n) = 2*a_(n-1) + a_(n-2) for n >= 3