Question 1

Can r be negative in geometric sequences?

Accepted Answer

Yes — alternate signs produce oscillating terms such as 1, −2, 4, −8, …

Question 2

What if r equals 1?

Accepted Answer

All terms equal a₁. The standard finite sum formula divides by (1−r), so handle r = 1 as Sₙ = n × a₁ separately.

Question 3

Does this find the pattern from given terms?

Accepted Answer

This tool generates from parameters. Pattern recognition from a list may require fitting d or r from consecutive terms.

Number Sequence Calculator

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