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Deck 13: Appendix B: Special Topics

Question

Write the first four terms of the sequence

Write the first four terms of the sequence <div style=padding-top: 35px>

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Question

Find the 67th term of the sequence defined by

Find the 67th term of the sequence defined by <div style=padding-top: 35px>

Question

Find the first five terms of the sequence defined by the recursive formula

Find the first five terms of the sequence defined by the recursive formula <div style=padding-top: 35px>

Question

Find the general term of a sequence whose first four terms are

Find the general term of a sequence whose first four terms are <div style=padding-top: 35px>

Question

Write

Write without summation notation. Do not evaluate.<div style=padding-top: 35px>

without summation notation. Do not evaluate.

Question

Write the following sum using summation notation:

Write the following sum using summation notation: <div style=padding-top: 35px>

Question

Write the alternating series

Write the alternating series using summation notation with the summing index k starting at <div style=padding-top: 35px>

using summation notation with the summing index k starting at

Write the alternating series using summation notation with the summing index k starting at <div style=padding-top: 35px>

Question

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:
-9, 3, -3, . . .

Question

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:
-2, 6, 10, . . .

Question

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:

-5, 8, 12, . . .

Question

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:
-1, -4, 16, . . .

Question

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:
-

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are: - <div style=padding-top: 35px>

Question

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:

-1, -8, -64, . . .

Question

Find the sum of the first 25 terms of the geometric sequence

Find the sum of the first 25 terms of the geometric sequence <div style=padding-top: 35px>

Question

Find the sum of the infinite geometric sequence (if it exists):

Find the sum of the infinite geometric sequence (if it exists): <div style=padding-top: 35px>

Question

Find the sum of the infinite geometric sequence (if it exists):

Find the sum of the infinite geometric sequence (if it exists): <div style=padding-top: 35px>

Question

Evaluate:

Evaluate: <div style=padding-top: 35px>

Question

Evaluate:

Evaluate: <div style=padding-top: 35px>

Question

Expand:

Expand: <div style=padding-top: 35px>

Question

Find the sixth term in the expansion of

Find the sixth term in the expansion of <div style=padding-top: 35px>

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Deck 13: Appendix B: Special Topics

1

Write the first four terms of the sequence

Write the first four terms of the sequence

1, 34, 3, 68

2

Find the 67th term of the sequence defined by

Find the 67th term of the sequence defined by

3

Find the first five terms of the sequence defined by the recursive formula

Find the first five terms of the sequence defined by the recursive formula

2, 7, 27, 107, 427

4

Find the general term of a sequence whose first four terms are

Find the general term of a sequence whose first four terms are

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5

Write

Write without summation notation. Do not evaluate.

without summation notation. Do not evaluate.

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6

Write the following sum using summation notation:

Write the following sum using summation notation:

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7

Write the alternating series Write the alternating series using summation notation with the summing index k starting at

Write the alternating series using summation notation with the summing index k starting at

using summation notation with the summing index k starting at Write the alternating series using summation notation with the summing index k starting at

Write the alternating series using summation notation with the summing index k starting at

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8

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:
-9, 3, -3, . . .

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9

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:
-2, 6, 10, . . .

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10

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:

-5, 8, 12, . . .

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11

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:
-1, -4, 16, . . .

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12

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:
-

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are: -

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13

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:

-1, -8, -64, . . .

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14

Find the sum of the first 25 terms of the geometric sequence

Find the sum of the first 25 terms of the geometric sequence

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15

Find the sum of the infinite geometric sequence (if it exists):

Find the sum of the infinite geometric sequence (if it exists):

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16

Find the sum of the infinite geometric sequence (if it exists):

Find the sum of the infinite geometric sequence (if it exists):

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17

Evaluate:

Evaluate:

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18

Evaluate:

Evaluate:

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19

Expand:

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20

Find the sixth term in the expansion of

Find the sixth term in the expansion of

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