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If we start indexing at $n = 1$, we get $$a_n = 2^{\lceil \log_2 n\rceil}$$where $\lceil - \rceil$ is the ceiling function.
The number $1$ is written on a blackboard. After every minute the number written on the blackboard is increased by the sum of its digits. The first few numbers, therefore, will be $$1,2,4,8, 16,23,...
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Here we will learn about different types of sequences including arithmetic sequences, geometric sequences and quadratic sequences and how to generate them and find missing terms, along with special sequences like the fibonacci sequence. We will also learn how to find the nth term of linear sequence and the nth term of a geometric sequence and ...
Algebra. Identify the Sequence 2 , 4 , 8 , 16. 2 2 , 4 4 , 8 8 , 16 16. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 2 gives the next term. In other words, an = a1rn−1 a n = a 1 r n - 1. Geometric Sequence: r = 2 r = 2.
$$" x = 1 + 2 + 4 + 8 + 16 + ... "$$ They are already suspicious - it is peculiar giving $\infty$ a name like $x$, and so I can tell they already know that something strange is afoot. " Note that $2x = 2 + 4 + 8 + ... = x - 1$."
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Solution. The correct option is C Geometric sequence. The sequence follows: 1, 2, 4, 8, ... Each term is multiplied with 2 to get the succeeding term. 1 × 2 = 2. 2 × 2 = 4. 4 × 2 = 8. 8 × 2 = 16. It is a geometric sequence. Suggest Corrections. 18. Similar questions. Q. Which pattern does this sequence follow: 1, 3, 6, 10, 15, 21, 28…? Q.
