I'm trying to figure out the pattern in this sequence: 1, 2, 4, 7, 11. It seems like each number is increasing by a different amount, but I can't quite put my finger on the exact rule. Can someone help me understand how each number is related to the one before it?
5 answers
CryptoAlchemy
Mon Nov 25 2024
To illustrate, let's consider the sequence: 1; 2; 4; 7; 11;… By observing this sequence, we find that the second differences between consecutive terms are all equal to 1.
Silvia
Mon Nov 25 2024
For instance, the difference between 2 and 1 is 1, the difference between 4 and 2 is 2, but the second difference (4-2)-(2-1) is 1. Similarly, the second difference between 7 and 4 is also 1, and so on.
ShintoSpirit
Mon Nov 25 2024
A quadratic sequence represents a unique arrangement of numbers.
BitcoinBaroness
Mon Nov 25 2024
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Michele
Mon Nov 25 2024
In this sequence, there is a constant second difference between any two consecutive terms. This characteristic sets it apart from other types of sequences.