calculate_sequence
Calculate the nth term and sum of an arithmetic or geometric sequence by providing the first term, common difference or ratio, and number of terms.
Instructions
Calculate nth term and sum of arithmetic or geometric sequence. Returns: {common_difference, nth_term, sum_of_n}. See list_bundles for related 'math' calculators.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| type | Yes | Sequence type | |
| first_term | Yes | First term (a1) | |
| common | Yes | Common difference (arithmetic) or ratio (geometric) | |
| n | Yes | Number of terms |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| result | No | Computed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools). | |
| formula | No | Human-readable formula or method used (e.g. "I=P·r·t", "Magnus formula"). | |
| source | No | Authoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21"). | |
| reference_url | No | Link to a calcul2 page documenting the calculation in detail. |