Explanation:
The differences are: 4, 9, 16, 25. These are squares of consecutive integers: 2², 3², 4², 5². The next difference is 6²=36. Therefore, 55+36=91.
Explanation:
Each term is obtained by multiplying the previous term by 2 and adding 1. (1×2)+1=3, (3×2)+1=7, (7×2)+1=15. The next term is (15×2)+1=31.
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