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Sequences

Sequences

Sequences: Quiz 0: Because We'd Rather Start Counting from Zero True or False

1. A sequence isan infinite list of numbers.
2. A sequence is defined by

Find a2.

3. Let an be the decimal expansion of  correct to n decimal places.

Find a<sub>1</sub>.3.3

4. Which formula gives the general term for the sequence of positive odd numbers if we start the sequence at n = 0?an = 2n – 1
5. Find the formula for the general term of the sequence

0, -10, 20, -30, 40, -50

if we start with n = 0.an = (-1)n10n

6. Give the formula for the general term of the sequence

starting with n = 1.

7. Which of the following descriptions produce the sequence of natural numbers

1, 2, 3, 4,... ?

(I) an = n starting at n = 1
(II) an = n – 1 starting at n = 1
(III) an = n starting at n = 0
(IV) an = (n + 1) starting at n = 0 I and IV

8. Find the general term of the sequence

0.5, 2, 4.5, 8, 12.5, ...

starting with n = 1.an = 1.5n – 1

9. Which description produces the sequence 0,6,24,60,... ?an = n3 n starting at n = 1
10. Find the general term for the sequence

starting with n = 1.


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