2, 7, 26, 101, 400, ?
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Given the sequence
2 7 26 101 400
It looks like the relationship between successive number is
xn+1=4xn-n
Where n = 1, 2, 3, 4...
and xn = 2, 7, 26, 101 400
Let's check this.
The first number is 2
x2 = 4(2)-1 = 7
The second number is 7
x3 = 4(7) -2 = 26
The third number is 26
x4 = 4(26) - 3 = 101
The fourth number is 101
x5 = 4(101) - 4 = 400
The fifth number is 400
x6 = 4(400) - 5 = 1595
The 6th number should be 1595
2 7 26 101 400
It looks like the relationship between successive number is
xn+1=4xn-n
Where n = 1, 2, 3, 4...
and xn = 2, 7, 26, 101 400
Let's check this.
The first number is 2
x2 = 4(2)-1 = 7
The second number is 7
x3 = 4(7) -2 = 26
The third number is 26
x4 = 4(26) - 3 = 101
The fourth number is 101
x5 = 4(101) - 4 = 400
The fifth number is 400
x6 = 4(400) - 5 = 1595
The 6th number should be 1595
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