AlgebraUnit 2

Connecting sequence indexing to a function input

A sequence is a function of a whole-number index.

  • A sequence is a function of a whole-number index.
  • If indexing starts at , the term with index is in position . If indexing starts at , index and position agree.

Example 1

The first term is indexed by . Find and state its position in the sequence.

This is term 3, because the first term has index 0. The sequence uses whole-number inputs only.

Example 2

The first term is indexed by . Find and state its position in the sequence.

Simplify the numerical terms and collect like terms.

This is term 3, because the first term has index 1. The sequence uses whole-number inputs only.

Remember
Always state whether the first term is or .

Your turn

Question 1

The first term is indexed by . Find and state its position in the sequence.

Check answer

This is term 5, because the first term has index 0. The sequence uses whole-number inputs only.

Question 2

The first term is indexed by . Find and state its position in the sequence.

Check answer
Simplify the numerical terms and collect like terms.

This is term 5, because the first term has index 1. The sequence uses whole-number inputs only.

Question 3

The first term is indexed by . Find and state its position in the sequence.

Check answer

This is term 7, because the first term has index 0. The sequence uses whole-number inputs only.

Question 4

The first term is indexed by . Find and state its position in the sequence.

Check answer
Simplify the numerical terms and collect like terms.

This is term 2, because the first term has index 1. The sequence uses whole-number inputs only.

Question 5

The first term is indexed by . Find and state its position in the sequence.

Check answer

This is term 4, because the first term has index 0. The sequence uses whole-number inputs only.

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