0000:00:00:00:00Start1Number 1ExplanationThe following numbers form a series: 3,6,18,15,m,54,51,54,1623, 6, 18, 15, m, 54, 51, 54, 1623,6,18,15,m,54,51,54,162. The value of mmm is ....161616181818202020222222242424ExplanationObserve the pattern of the following number series. 3,6,18,15,m,54,51,54,1623, \quad 6, \quad 18, \quad 15, \quad m, \quad 54, \quad 51, \quad 54, \quad 1623,6,18,15,m,54,51,54,162 The pattern formed is as follows. 3→+363 \xrightarrow{+3} 63+36 6→×3186 \xrightarrow{\times 3} 186×318 18→−31518 \xrightarrow{-3} 1518−315 15→+3m15 \xrightarrow{+3} m15+3m m→×354m \xrightarrow{\times 3} 54m×354 54→−35154 \xrightarrow{-3} 5154−351 51→+35451 \xrightarrow{+3} 5451+354 54→×316254 \xrightarrow{\times 3} 16254×3162 It can be seen that the operation pattern repeats: +3, ×3, −3+3, \;\times 3, \; -3+3,×3,−3. To determine the value of mmm, we continue the pattern after 151515, which is adding 333. m=15+3=18m = 15 + 3 = 18m=15+3=18 We can verify the value of mmm with the next step (multiplying by 333). 18×3=54(Correct)18 \times 3 = 54 \quad (\text{Correct})18×3=54(Correct) Thus, the value of mmm is 181818.
1Number 1ExplanationThe following numbers form a series: 3,6,18,15,m,54,51,54,1623, 6, 18, 15, m, 54, 51, 54, 1623,6,18,15,m,54,51,54,162. The value of mmm is ....161616181818202020222222242424ExplanationObserve the pattern of the following number series. 3,6,18,15,m,54,51,54,1623, \quad 6, \quad 18, \quad 15, \quad m, \quad 54, \quad 51, \quad 54, \quad 1623,6,18,15,m,54,51,54,162 The pattern formed is as follows. 3→+363 \xrightarrow{+3} 63+36 6→×3186 \xrightarrow{\times 3} 186×318 18→−31518 \xrightarrow{-3} 1518−315 15→+3m15 \xrightarrow{+3} m15+3m m→×354m \xrightarrow{\times 3} 54m×354 54→−35154 \xrightarrow{-3} 5154−351 51→+35451 \xrightarrow{+3} 5451+354 54→×316254 \xrightarrow{\times 3} 16254×3162 It can be seen that the operation pattern repeats: +3, ×3, −3+3, \;\times 3, \; -3+3,×3,−3. To determine the value of mmm, we continue the pattern after 151515, which is adding 333. m=15+3=18m = 15 + 3 = 18m=15+3=18 We can verify the value of mmm with the next step (multiplying by 333). 18×3=54(Correct)18 \times 3 = 54 \quad (\text{Correct})18×3=54(Correct) Thus, the value of mmm is 181818.
