Determine if it is true or false: 1. For an = n(4n - 5)/ 2, the first term in the sequence is 1. 2. For an = n(4n - 5)/ 2, the tenth term in the sequence is 175.

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 4SE: What happens to the terms an of a sequence when there is a negative factor in the formula that is...
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Determine if it is true or false:

1. For a= n(4n - 5)/ 2, the first term in the sequence is 1.

2. For a= n(4n - 5)/ 2, the tenth term in the sequence is 175.

3. For a= n(4n - 5)/ 2, the common difference in the sequence is 5.

4.  a= n(4n - 5)/ 2 is expressed in explicit formula.

5. In the sequence: 10, 7, 4, ...., the explicit formula is an = 10 - 3n for n > 0

6. In the sequence: 10, 7, 4, ...., the recursive formula is

        a1 = 10, a2 = 7, an = an-2 - an- 1 for n > 3

7. In the sequence: 10, 7, 4, ...., the initial term is 10 and the  tenth term is -20.

8. a= 2, a=3, and an  = 5an–1 – 4an–2 for n > 2. the third term is 7.

9. a= 2, a=3, and an  = 5an–1 – 4an–2 for n > 2 is expressed in explicit formula.

10. a= 2, a=3, and an  = 5an–1 – 4an–2 for n > 2. the fifth term is 87.

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