Question

Complete the following series:
7,36, 144, 324, ...how to mark
​

Answer 1

Given :- Complete the following series :- 7, 36, 144, 324 , ?

Solution :-

checking difference between terms we get,

→ 36 - 7 = 29

→ 144 - 36 = 108

→ 324 - 144 = 180

since numbers are increasing in random order, checking difference of difference we get,

→ 108 - 29 = 79

→ 180 - 108 = 72

now, we can see that, difference is in order of 79, 72, 65, ____ { - 7 }

then,

→ 180 + 65 = 245

therefore,

→ 324 + 245 = 569 (Ans.)

Hence, Next term in the series will be 569 .

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