In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2. As a series of real numbers it diverges to infinity, so the sum of this series is infinity.

Multiply 2n−1 2 n - 1 by 1 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

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2019年11月4日 · Find the next term of the sequence 1, 2, 4, 8, ?. The result might surprise you. In this video, we go over how to find a formula that satisfies any sequence of finite length....more

In mathematics, the infinite series ⁠ 1 2 ⁠ + ⁠ 1 4 ⁠ + ⁠ 1 8 ⁠ + ⁠ 1 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely.

Here the logic follows is that the next number is the multiplication of the previous number. Hence, the correct answer is "256". -> The UGC NET Result for December 2024 has been released. …

In a Geometric Sequence each term is found by multiplying the previous term by a constant. Example: 1, 2, 4, 8, 16, 32, 64, 128, 256, ... This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2. In General we write a Geometric Sequence like this: {a, ar, ar 2, ar 3, ...

The geometric series you have is equivalent to evaluating 1 1−x at x = 2; the −1 is valid for that formula, but you are using the series outside its region of validity, which is where the trouble lies.

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Given series: 1, 2, 4, 8, ............... Now, 2 1 = 2, 4 2 = 2, 8 4 = 2 Since 2 1 = 4 2 = 8 4 =....... = 2, the given sequence is a G.P. with first term, a = 1 and common ratio, r = 2. Now, T n = ar n – 1 …