writer
5,435
edits
Changes
Jump to navigation
Jump to search
Line 7:
Line 7: + + + + + − + − + + + + + + + + + + + + + + + + + + + + +
no edit summary
1. Given a number n, find all roots from 1 to n of a given number N.
1. Given a number n, find all roots from 1 to n of a given number N.
===Answer===
nrootsofn:=(1..n)√n;
2. Add these up.
2. Add these up.
===Answer===
nrootsofn:=(1..n)√n;
SUM(nrootsofn(29))
3. Find the sum of 1 to n for all even numbers from 1 to 100.
3. Find the sum of 1 to n for all even numbers from 1 to 100.
4. Find the factorial of reciprocals of a series of numbers from 1 to a large numbers and see how it compares to the value of e.
===Answer===
EVENS(1..100).$$(SUM)
4. Find the factorial of reciprocals of a series of numbers from 1 to a large numbers and see how it compares to the value of e.
===Answer===
[https://en.wikipedia.org/wiki/E_(mathematical_constant) e] is defined as:
<img src=https://wikimedia.org/api/rest_v1/media/math/render/svg/4ecf44cf7290248f810619067256c209975ad8e1>
FACTORIAL(0)+Σ(SERIESOF("1/x!",100)) or SUM(SERIESOF("1/x!",100,0)) give the result as 2.7182818284590455 which is quite close to e value of 2.71828182845904523536028747135266249775724709369995... (sequence A001113 in OEIS).
Σ(SERIESOF("1/x!",100))
( 1 to 100 only) is missing the original 1, and hence can be written as Σ(SERIESOF("1/x!",100,0))
∑(0..100@"1/x!")
also works
SUM((0..100).$("1/x!")) is another answer.
5. Create 3x4x5x6 array and fill with numbers 1 to 100
5. Create 3x4x5x6 array and fill with numbers 1 to 100