Question

Given the recursive sequence given by the formula $a_n = a_{n-1} + 2 \cdot a_{n-2} + a_{n-2} \cdot (n-1)$. $a_1$ is $3$ and $a_2$ is $5$. What is the 20th term in this sequence?

Name: given the recursive sequence given by the formula an an 1 2 cdot an 2 an 2 cdot n 1 a1 is 3 and a2 is 5 what is the 20th term in this sequence 47811
Uploaded: 2022-11-30T21:11:41-08:00
Duration: 1 min 38 s
Channel: Kathleen Carty
Description: given the recursive sequence given by the formula an an 1 2 cdot an 2 an 2 cdot n 1 a1 is 3 and a2 is 5 what is the 20th term in this sequence 47811

          Given the recursive sequence given by the formula $a_n = a_{n-1} + 2 \cdot a_{n-2} + a_{n-2} \cdot (n-1)$. $a_1$ is $3$ and $a_2$ is $5$. What is the 20th term in this sequence?

Added by Alexander L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Kathleen Carty

11/30/2022

Step 1

Here, the $n$-th term of the sequence depends on the previous two terms, $a_{n-1}$ and $a_{n-2}$, and involves a multiplication of $a_{n-2}$ with $(n-1)$. Show more…

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Given the recursive sequence given by the formula $a_n = a_{n-1} + 2 \cdot a_{n-2} + a_{n-2} \cdot (n-1)$. $a_1$ is $3$ and $a_2$ is $5$. What is the 20th term in this sequence?