3 is the answer
25
(n - 10) + 6
The rule of the pattern 50 40 45 35 is subtract 10 then add 5.
Keep subtracting 6
3 is the answer
25
(n - 10) + 6
The rule of the pattern 50 40 45 35 is subtract 10 then add 5.
Keep subtracting 6
4*2-2=6 6*2-2=10
It could be tn = n2 + 6 for n = 1,2,3,...
The rule is 5, 10, 15 and so the next number will be 20+31 = 51
Any number that you choose can be the next number. It is easy to find a rule based on a polynomial of order 7 such that the first seven numbers are as listed in the question followed by the chosen next number. And that does not complete the pattern, simply continues it. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. One possible answer is 843.
Oh, what a lovely pattern you've created! It looks like you're adding 10, then subtracting 10, then adding 120, then subtracting 10 again. Keep exploring those patterns and see where they take you on your creative journey!
it goes by odd numbers, 2 + 3= 5, 5+5=10, 10 + 7=17 the rest of the pattern is 26, 37, and 50
20-10 rule = 10