Question

Match the following items.

1. the positive integers alternating sequence
2. an ordering of quantities separated by commas natural numbers
3. the sum of the terms of an associated sequence general term of a sequence
4. one of the individual quantities of a sequence term of a sequence
5. a formula that yields the value of a term when that term is substituted in it arithmetic series
6. a series that has a common difference between terms series
7. a series that has a common ratio between terms sequence
8. a sequence in which each successive terms changes sign geometric series

Answer 1

Answer:

1. The Positive Integers - Natural Numbers

2. An Ordering of Quantities Separated by Commas - Sequence

3. The Sum of The Terms of an Associated Sequence - Series

4. One of The Individual Quantities of a Sequence - Term of a Sequence

5. A Formula That Yields The Value of a Term When That Term is Substituted In It - General Term of a Sequence

6. A Series That Has a Common Difference Between Terms - Arithmetic Series

7. A Series That Has a Common Ratio Between Terms Sequence - Geometric Series

8. A Sequence in Which Each Successive Terms Changes Sign - Alternating Sequence

 

Answer 2

Series are sum of terms of sequences. The names of each of the items specified are specified below.

What is series and  sequence?

Sequence is an ordering of numerical or mathematical quantities separated by commas, and series is sum of terms of sequences if addition is defined for those terms.

For the considered definitions, their names are given as:

1. the positive integers : It is called Natural Numbers. Example: 4 is a natural number.

2. an ordering of quantities separated by commas: Sequence

Example: 2,4,6...

3. the sum of the terms of an associated sequence: Series

Example: 2 + 4 + 6 + ...

4. one of the individual quantities of a sequence term of a sequence: Term

5. a formula that yields the value of a term when that term is substituted in it: general term of a sequence

6. a series that has a common difference between terms: Arithmetic series

7. a series that has a common ratio between terms: Geometric series

8. a sequence in which each successive terms changes sign: Alternating sequence

Learn more about sequence here:

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