找规律填数字2,3,5,9,17()

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找规律填数字2,3,5,9,17()

找规律填数字2,3,5,9,17()
找规律填数字2,3,5,9,17()

找规律填数字2,3,5,9,17()
2^0+1=2
2^1+1=3
2^2+1=5
2^3+1=9
2^4+1=17
2^5+1=33
2,3,5,9,17( 33 )

33

2 = 2^0 +1
3 =2^1 +1
5 =2^2 +1
括号里的应该是2^5 +1 =33

1+1=2
1+2=3
1+4=5
1+8=9
1+16=17
规律:An=1+2^(n-1)
其中:n为项数且为正整数,An为第n项,2^(n-1)为2的(n-1)次方
A6=1+2^5=1+32=33

33

2,3,5,9,17,( ),( )