differences among given numbers: 10, 24, 44, 70,.. their differences 14, 20, 26.. these are in AP... so next difference is 32. so next higher level difference is 102. so the next number is 150+102 = 252

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nth term is n³ + n²

or another method 2 = 1. 2

12 = 2 . 6 = 4 .3

36 = 3. 12 = 9 .4

80 = 5 . 4^2 = 16 .5

150 = = 25 .6

A(n) = = n^2 .(n + 1)

next

A(6) = 6^2 .7 =36 .7 = 252

plz mark as best

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The terms are in the order x² + x³

i.e. 1² + 1³ = 2

again 2² + 2³ = 12

so for 6 th term

6² + 6³ = 252

i.e. 1² + 1³ = 2

again 2² + 2³ = 12

so for 6 th term

6² + 6³ = 252