Integer Step Calculator

Only used by the Fibonacci/Lucas recursion.
Arithmetic and harmonic sequences.
Geometric sequences.
nth term aₙ
10
Sequence and Series Calculator
Sum of the first n terms Sₙ
55
Explicit (closed) formula
a_n = 1 + (n - 1)(1)
Recursive formula
a_1 = 1, a_n = a_(n-1) + 1
Sum formula
S_n = (n/2)(2(1) + (n - 1)(1))
Series converges
no
Worked out from NIST Digital Library of Mathematical Functions, section 26.1 (finite sums and series) and 2 other sources.

How this is worked out

3 steps
  1. Common difference d = 1.
  2. a_10 = 1 + (10 - 1)(1) = 10.
  3. S_10 = (10/2)(a_1 + a_10) = (10/2)(1 + 10) = 55.
Listed termstable
1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Results are general information, not financial, tax, legal, medical or engineering advice.