d) Give a recursive definition of the sequence {a„}, n = 1, 2, 3... %3D n if a,= 2 + 1; and a15 e) Use your definition in (d) above to find a10.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 69SE: Find a recursive formula for the sequence 1,0,1,1,0,1,1,0,1,1,0,1,1,... (Hint: find a pattern for an...
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d) Give a recursive definition of the sequence {a,}, n
= 1, 2, 3...
n if a,= 2 + 1 ;
a10,
and
a15
e) Use your definition in (d) above to find
f) Let A = {1, 2, {{1,2}}}. Find the power set P(A)
Transcribed Image Text:d) Give a recursive definition of the sequence {a,}, n = 1, 2, 3... n if a,= 2 + 1 ; a10, and a15 e) Use your definition in (d) above to find f) Let A = {1, 2, {{1,2}}}. Find the power set P(A)
d) A functionf is defined on the set N of natural
numbers by
RO) = 2, A2) = 5 and fAn) = 2 An - 1) + 3 An - 2) + An - 3)
%3D
for all n > 3. Find (4).
Transcribed Image Text:d) A functionf is defined on the set N of natural numbers by RO) = 2, A2) = 5 and fAn) = 2 An - 1) + 3 An - 2) + An - 3) %3D for all n > 3. Find (4).
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