Q 23. Find the missing term in the series given below. -1, 0, 5, 14, ?, 44
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Answer:
27
Step-by-step explanation:
-1 = 2((-1)^2) + 3(-1)
0 = 2(0^2) + 3(0)
5 = 2(1^2) + 3(1)
14 = 8 + 6 = 2(2^2) + 3(2)
44 = 32 + 12 =2(4^2) + 3(4)
So, the pattern is 2(n^2) + 3n where n = -1,0,1,2,3,4
Hence, the missing number is 2(3^2) + 3(3) = 18 + 9 =27
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