6,14,30,62() ()找规律

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6,14,30,62() ()找规律
6,14,30,62() ()找规律

6,14,30,62() ()找规律
an = 2^(n+2) - 2
a1 = 2^3 - 2 = 8 - 2 = 6
a2 = 2^4 - 2 = 16 - 2 = 14
a3 = 2^5 - 2 = 32 - 2 = 30
a4 = 2^6 - 2 = 64 - 2 = 62
a5 = 2^7 - 2 = 128 - 2 = 126
a6 = 2^8 - 2 = 256 - 2 = 254

6×2+2=14
14×2+2=30

所以括号内为
62×2+2=126
126×2+2=254

满意请采纳,O(∩_∩)O谢谢~

126,254 6——14 +8
14——30 +8x2
30_62 +8x2x2

6=2的三次方-2
14=2的四次方-2
……
所以后面两个数是126、254

56,14,30,62(126) (254)