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2. In the following series, a wrong number is given, find out that wrong number. 4,5,10,18,34,59,95 A. 10 B. 18 C. 34 D. 59

Pergunta

2. In the following series, a wrong number is given, find out that wrong
number.
4,5,10,18,34,59,95
A. 10
B. 18
C. 34
D. 59

2. In the following series, a wrong number is given, find out that wrong number. 4,5,10,18,34,59,95 A. 10 B. 18 C. 34 D. 59

Solução

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GiovanniMestre · Tutor por 5 anos

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To find the wrong number in the series, we need to analyze the pattern or rule that the series follows.<br /><br />Let's examine the differences between consecutive terms:<br /><br />$5 - 4 = 1$<br />$10 - 5 = 5$<br />$18 - 10 = 8$<br />$34 - 18 = 16$<br />$59 - 34 = 25$<br />$95 - 59 = 36$<br /><br />We can see that the differences between consecutive terms are increasing by a certain pattern. The differences are 1, 5, 8, 16, 25, and 36.<br /><br />Now, let's look at the relationship between the differences:<br /><br />$5 = 2^2 + 1$<br />$8 = 2^3$<br />$16 = 2^4$<br />$25 = 5^2$<br />$36 = 6^2$<br /><br />We can see that the differences are powers of 2, except for 5 and 25. Therefore, the wrong number in the series is 34, as it does not follow the pattern of powers of 2.<br /><br />So, the correct answer is C. 34.
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