Free math problem solver answers your algebra homework questions with step-by-step explanations.

Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.

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How to demonstrate that $3^n - 1$ is an even number using the principle of induction? I tried taking that $3^k - 1$ is an even number and as a thesis I must demonstrate that $3^{k+1} - 1$ is an e...

Free exponent calculator - step-by-step solutions to help simplify the given exponential expression.

-x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) ... {3}{2^n} Show More; Description. Solve problems from Pre Algebra to Calculus step-by-step Frequently Asked Questions (FAQ) Is there a step by step calculator for math? Symbolab is the best step by step calculator for a wide range of math problems ...

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Via **inductive proof** show that 3^{2n}-1 is divisible by 8 for all natural numbers n

A geometric series is a sequence of numbers in which the ratio between any two consecutive terms is always the same, and often written in the form: a, ar, ar^2, ar^3, ..., where a is the first term of the series and r is the common ratio (-1 < r < 1).

It is represented by the formula a_n = a_ (n-1) + a_ (n-2), where a_1 = 1 and a_2 = 1. This formula states that each term of the sequence is the sum of the previous two terms. The most common types of sequences include the arithmetic sequences, geometric sequences, and Fibonacci sequences.