Pergunta
What should come in place of question mark (?) in the following number series? 4,10,22,46,?,190 92 94 96 102 104
Solução
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RafaelProfissional · Tutor por 6 anos
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To find the pattern in the number series, let's look at the differences between consecutive terms:<br /><br />10 - 4 = 6<br />22 - 10 = 12<br />46 - 22 = 24<br />190 - 46 = 144<br /><br />We can see that the differences themselves form a pattern. The differences are multiplied by 2 each time:<br /><br />6 * 2 = 12<br />12 * 2 = 24<br />24 * 2 = 48 (but we need to add 2 instead of multiplying by 2 to get 48)<br />48 * 2 = 96 (but we need to add 2 instead of multiplying by 2 to get 96)<br />96 * 2 = 192 (but we need to add 2 instead of multiplying by 2 to get 192)<br /><br />So, the correct pattern is to add 2 to the previous difference:<br /><br />6 + 2 = 8<br />12 + 2 = 14<br />24 + 2 = 26<br />48 + 2 = 50<br />96 + 2 = 98<br /><br />Now, let's add this new difference to the last known term in the series:<br /><br />46 + 98 = 144<br /><br />Therefore, the correct answer is 144.
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