Search results
The calculator will instantly simplify the expression and provide the result, helping you save time and effort. For more complex expressions, the calculator offers step-by-step solutions, aiding in understanding the simplification process.
- Equations
\left|3x+1\right|=4 \log _2(x+1)=\log _3(27) 3^x=9^{x+5}...
- Trigonometric Simplification Calculator
simplify\:\tan^4(x)+2\tan^2(x)+1 ;...
- Equations
How to simplify your expression. To simplify your expression using the Simplify Calculator, type in your expression like 2 (5x+4)-3x. The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.
Question. A sequence is defined by the recurrence relation \ ( {U_ {n + 1}} = 3 {U_n}\) and has \ ( {U_0} = 1\). a) Find the first five terms of the sequence. b) Determine the formula for \ (...
May 3, 2014 · The sum of 0 + ⋯ + n − 1 is 1 2(n − 1)n. Here n is the number of users; there are 0 comparisons needed for the first user alone, 1 for the second user (to compare them to the first), 2 for the third user, and so on, up to the n th user who must be compared with the n − 1 previous users.
Aug 18, 2017 · #= 1^2 - 2^2 + 3^2 - . . . The #N# th term would be given by #(-1)^(N+1)N^2# , and the finite sum at the #N# th term would be found as follows. If this series were not alternating, the sum would have been:
- The sum is #=(-1)^(n+1)(n(n+1))/2# Explanation: The #nth# term is #=(-1)^(n+1)n^2# The sum is #S=1^2-2^2+3^2-4^2+5^2-6^2+........+(n-1)^2-n^2# , #A...
- #S_N = -((-1)^N N(N+1))/2# Note that this is completely general , irrespective of whether the th term is even or odd. An evaluation example can be...
- The #n^(th)# term is given by: #u_n = (-1)^(r+1) r^2 # The sum of the first #n# term is given by: # sum_(r=1)^n (-1)^(r+1) r^2 =(-1)^(n+1) \ 1/2n(n...
- See below. Explanation: Calling #S_o = sum_(k=1)^n(2k-1)^2# and #S_e = sum_(k=1)^n(2k)^2# for #n# even we have #S_(2n) = S_o + S_e = sum_(k=1)^n (2...
Sequence. A Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for a more in-depth discussion.
You can add, subtract, find length, find vector projections, and find the dot and cross product of two vectors. For each operation, the calculator writes a step-by-step, easy-to-understand explanation of how the work has been done. Vectors 2D Vectors 3D.
