what is the next number in the sequence of 2...7...26...101...400

Question

What is the next number in the number sequence 2...7...26...101...400

Answer 1

Steve,

 

The sequence is 

a(n+1) = a(n)*4-n

 

7 = 2*4-1

26 = 7*4-2

101 = 26*4-3

400 = 101*4-4

Next number is 400*4-5 = 1595