2 4 10 24 54 .............
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72
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88
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96
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116
Reveal answer
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Correct answer
Explanation
The pattern is differences: 4-2=2, 10-4=6, 24-10=14, 54-24=30. These differences follow the formula 2^(n) - 2: 2, 6, 14, 30, 62. So 54 + 62 = 116. Alternatively, each term is (previous × 2) + 2: 2×2+2=6, 4×2+2=10, 10×2+2=22(not 24)... let me verify. Actually: 2, 4, 10, 24, 54 follows: a_n = 2^(n) + 2^(n-1) - 2? Better to see differences: 2, 6, 14, 30 - each is 2×(previous) + 2. So next difference is 62, giving 54+62=116.
AI explanation
The differences between consecutive terms are 2, 6, 14, 30 — and the differences between those differences (4, 8, 16) double each time. Continuing that doubling pattern, the next difference-of-differences is 32, making the next first-difference 30+32=62, and so the next term is 54+62=116.