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What is the next number in the series 2,12,36,80,150?

Question

What is the next number in the series $2, 12, 36, 80, 150 ?$

194

210

252

258

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What is the next number in the series

2, 12, 36, 80, 150 ?

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Text solutionVerified

12 - 2 = 10

36 - 12 = 24

80 - 36 = 44

150 - 80 = 70

Now,

24 - 10 = 14

44 - 24 = 20

70 - 44 = 26

Then next difference of the difference will be

26 + 6 = 32

Hence answer is

150 + 70 + 32 = 252

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Question Text	What is the next number in the series $2, 12, 36, 80, 150 ?$
Answer Type	Text solution:1
Upvotes	153