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What should come in place of question mark (?) in the following number series? 4,10,22,46,?,190 92 94 96 102 104

Pergunta

What should come in place of question mark (?) in the following number series?
4,10,22,46,?,190
92
94
96
102
104

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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