3. Determine whether each of the following sequences with given nth term converges or diverges. Find the limit of those sequences that converge. i) am = A- 19 ii) b, = . 4. i) Determine whether the sequence defined as follows is convergent or divergent: a1 = 1, an41 =4 – an, for n>1. ii) What happens if the first term is a1 = 2?
3. Determine whether each of the following sequences with given nth term converges or diverges. Find the limit of those sequences that converge. i) am = A- 19 ii) b, = . 4. i) Determine whether the sequence defined as follows is convergent or divergent: a1 = 1, an41 =4 – an, for n>1. ii) What happens if the first term is a1 = 2?
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 63SE: Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do...
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Transcribed Image Text:3. Determine whether each of the following sequences with given nth term converges or
diverges. Find the limit of those sequences that converge.
i) an
TL
ii) b, =.
2"
4. i) Determine whether the sequence defined as follows is convergent or divergent:
a1 = 1,
an+1 = 4 – an,
for n >1.
ii) What happens if the first term is a1 = 2?
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