A sequence

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Transcript of A sequence

Page 1: A sequence

Sequence

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Page 2: A sequence

A sequence is a collection of numbers arranged in a definite order

according to some definite rule

Each   number   in   the  sequence   is   called   a   term   of   the   sequence.

Page 3: A sequence

9

13

𝒕𝟏  = 1, 𝒕𝟐  = 5, 𝒕𝟑  = 9, ….

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Page 4: A sequence

The number in the first position the first term is

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The number in the second position the second term

The number in the third position the third term

Page 5: A sequence

The number in the ‘ ‘position

The ‘ ‘ term is

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Page 6: A sequence

Sum of the first n terms of a sequence

=

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= +

= + +

= + + + … +

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Sum of the first n terms of a sequence

=

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- =

- =

- =

= -

Page 8: A sequence

Find the first four terms of the sequence whose ‘ ‘ term is 3n + 1.

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Here = 3n + 1

Page 9: A sequence

For n = 1, = 3 × 1 + 1 =4.

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For n = 2, = 3 × 2 + 1 = 7.

For n = 3, = 3 × 3 + 1 = 10.

For n = 4, = 3 × 4 + 1 = 13.

The first four terms of the sequence are 4, 7, 10, 13.