Strictly Monotonically Increasing

A sequence is strictly monotonically increasing if each term is greater than the previous one.

an+1 > an

2, 5, 8, 11, 14, 17,...

5 > 2; 8 > 5; 11 > 8; ...

Monotonically Increasing

A sequence is monotonically increasing if each term is greater than or equal than the previous one.

an+1 ≥ an

2, 2 , 4, 4, 8, 8,...

2 ≥ 2; 4 ≥ 2; 4 ≥ 4; ...

Strictly Monotonically Decreasing

A sequence is strictly monotonically decreasing if each term of the sequence is less than the previous one.

an+1 < an

1, 1/2, 1/3, 1/4, 1/5, 1/6,...

1/2 < 1; 1/3 < 1/2 ; 1/4 < 1/3; ...

Monotonically Decreasing

A sequence is monotonically decreasing if each term of the sequence is less than or equal to the previous one.

an+1 ≤ an

Constant Sequence

A sequence is constant if all its terms are equal.

an = an+1

5, 5, 5, 5, ...

Study the following sequences and determine the type of sequence.

1

3, 4/3, 1, 6/7,...

The sequence is decreasing.

The inequality is satisfied for any value of n.

The sequence is strictly monotonically decreasing.

2

Each term is greater than the last.

The inequality is satisfied for any value of n.

The sequence is strictly monotonically increasing.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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