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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.
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 $2$ ).
A geometric progression (GP), also called a geometric sequence, is a sequence of numbers which differ from each other by a common ratio. For example, the sequence 2, 4, 8, 16, \dots 2,4,8,16,… is a geometric sequence with common ratio 2 2. We can find the common ratio of a GP by finding the ratio between any two adjacent terms.
Learn how to solve 1,2,4,8,16. Tiger Algebra's step-by-step solution shows you how to find the common ratio, sum, general form, and nth term of a geometric sequence.
Feb 18, 2016 · Feb 18, 2016. an = 2n−1. Explanation: The difference between successive terms is not a constant, so the sequence is not an arithmetic sequence. Checking to see if the sequence might be geometric, we see the successive terms are all a multiple of 2 times the previous term. a1 = 1 = 20. a2 = a1 ×2 = 21. a3 = a2 ×2 = a1 ×22 = 22.
The series of numbers 1, 2, 4, 8, 16 ... is an example of a geometric sequence, sometimes called a geometric progression (GP). Each term in the progression is found by multiplying the previous number by 2. Such sequences occur in many situations; the multiplying factor does not have to be 2.
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Jan 18, 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.
