CALCULATOR
Finite Arithmetic Sequence Sum Calculator
Finite Arithmetic Sequence Sum. Number of terms: 1, 2, 3, 5, 10, 20, 50, 100 only. Example: First: 2 number, Difference: 3 number, Number of terms: 10 count gives 155 number. Arithmetic sequence only; n selected from1,2,3,5,10,20,50,100. No general or infinite series claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible
Arithmetic sequence only; n selected from1,2,3,5,10,20,50,100. No general or infinite series claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Pair first and last terms: each pair has identical sum.
Accepted inputs: First: -10,000 to 10,000 number; Difference: -10,000 to 10,000 number; Number of terms: choose 1 (1), 2 (2), 3 (3), 5 (5), 10 (10), 20 (20), 50 (50), 100 (100).
How the calculation works
sum=n(2a+(n-1)d)/2
Worked example
With first 2 number, difference 3 number, number of terms 10, finite arithmetic sequence sum is 155 number.
Assumptions and limits
Arithmetic sequence only; n selected from1,2,3,5,10,20,50,100. No general or infinite series claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Pair first and last terms: each pair has identical sum.