Question

167,390,741,1262,2001​

Answer 1

Given :- 167,390,741,1262,2001, ? find next term in series .

Solution :-

checking difference between given terms we get,

→ 390 - 167 = 223

→ 741 - 390 = 351

→ 1262 - 741 = 521

→ 2001 - 1262 = 739

since difference between given terms is increasing in random order , checking difference of difference we get,

→ 351 - 223 = 128

→ 521 - 351 = 170

→ 739 - 521 = 218

checking difference of difference again,

→ 170 - 128 = 42

→ 218 - 170 = 48

as we can see that, now difference is in order of + 6, (48 - 42= 6) . then, taking next difference 48 + 6 = 54 we get,

→ 218 + 54 = 272

→ 272 + 739 = 1011

then, next term will be,

→ 1011 + 2001 = 3012 (Ans.)

therefore, next term in the series will be 3012 .

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