00 Several terms of a sequence fa,} are given below. n 1 {1, 8, 64, 512, 4096, ..} a. Find the next two terms of the sequence. b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). c. Find an explicit formula for the general nth term of the sequence. a. The next two terms of the sequence are as = and az = (Simplify your answers.) %3D %3D b. Choose the correct answer below. O A. an+1=an-8, a, = 1, for n2 1 O B. an+1=an+8, a, = 1, for n21 O C. an+1=8an a = 1, for n2 1 an O D. an+1= a, =1, for n21 c. The explicit formula for the general nth term of the sequence is a, = n21. %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 57EQ
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Question
00
Several terms of a sequence fa,, are given below.
=D1
{1, 8, 64, 512, 4096, ..}
b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence).
c. Find an explicit formula for the general nth term of the sequence.
a. Find the next two terms of the sequence.
a. The next two terms of the sequence are ag =
and a7
(Simplify your answers.)
b. Choose the correct answer below.
O A. an+1=an-8, a, = 1, for n2 1
O B. an+1=an +8, a, = 1, for n 21
O C. an+1=8an ag = 1, for n21
u,
O D. an+1
B a1=1, for n21
8.
c. The explicit formula for the general nth term of the sequence is an
,n21.
%3D
1°C
Mostly cloudy
W
%3D
Transcribed Image Text:00 Several terms of a sequence fa,, are given below. =D1 {1, 8, 64, 512, 4096, ..} b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). c. Find an explicit formula for the general nth term of the sequence. a. Find the next two terms of the sequence. a. The next two terms of the sequence are ag = and a7 (Simplify your answers.) b. Choose the correct answer below. O A. an+1=an-8, a, = 1, for n2 1 O B. an+1=an +8, a, = 1, for n 21 O C. an+1=8an ag = 1, for n21 u, O D. an+1 B a1=1, for n21 8. c. The explicit formula for the general nth term of the sequence is an ,n21. %3D 1°C Mostly cloudy W %3D
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