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Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.
Precalculus. Identify the Sequence 1 , 2 , 4 , 8 , 16. 1 1 , 2 2 , 4 4 , 8 8 , 16 16. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 2 gives the next term. In other words, an = a1rn−1 a n = a 1 r n - 1.
If we start indexing at $n = 1$, we get $$a_n = 2^{\lceil \log_2 n\rceil}$$where $\lceil - \rceil$ is the ceiling function.
10 maj 2016 · For example: 1, 2, 4, 8, 16 is a geometric sequence with common ratio 2. We note that: 2/1 = 4/2 = 8/4 = 16/8 = 2 color(white)() The infinite sequence 1, 2, 4, 8, 16,... is a geometric sequence if it continues in similar fashion in the "...", doubling every step.
If you apply the 'digit-sum' operator to the added number repeatedly, you can make the sequence $1, 2, 4, 8, 7, 5, \dots$. For instance, from $1991$ to $2021$ , you add $20$ (the digit sum of $20$ itself is $2$ ).
18 sty 2024 · The formulas to calculate a sequence's nth term (arithmetic and geometric sequences); Interesting integer sequences (prime numbers, Fibonacci numbers, figurate numbers); And much more. We will teach you how to use our versatile tool and give you some examples of sequence calculations.
An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms. Free Arithmetic Sequences calculator - Find indices, sums and common difference step-by-step.