Question
What should come in place of question mark (?) in the following number series? 4,10,22,46,?,190 92 94 96 102 104
Solution
4.6
(265 Votos)
Rafael
Profissional · Tutor por 6 anos
Resposta
To find the pattern in the number series, let's look at the differences between consecutive terms:10 - 4 = 622 - 10 = 1246 - 22 = 24190 - 46 = 144We can see that the differences themselves form a pattern. The differences are multiplied by 2 each time:6 * 2 = 1212 * 2 = 2424 * 2 = 48 (but we need to add 2 instead of multiplying by 2 to get 48)48 * 2 = 96 (but we need to add 2 instead of multiplying by 2 to get 96)96 * 2 = 192 (but we need to add 2 instead of multiplying by 2 to get 192)So, the correct pattern is to add 2 to the previous difference:6 + 2 = 812 + 2 = 1424 + 2 = 2648 + 2 = 5096 + 2 = 98Now, let's add this new difference to the last known term in the series:46 + 98 = 144Therefore, the correct answer is 144.