What number will come next in the series? 10, 20, 74, 100, 202, ?

Question

10,20,74,100. What will be the next number in the series?

Answer 1

Series of addition of squares of successive odd and evens
(1^2)+(3^2)=1+9=10
(2^2)+(4^2)=4+16=20
(5^2)+(7^2)=25+49=74
(6^2)+(8^2)=36+64=100
(9^2)+(11^2)=81+121=202
Similarly,
(10^2)+(12^2)=100+144=244

Answer 2

The difference between the odd terms and even terms keeps doubling each time ie.,

74-10 = 64 { 3rd - 1st term }
202-74 = 128 => 64*2 { 5th - 3rd term }
100-20 = 80 { 4th term - 2nd term }
So next, the term belonging to the even group must be having the difference of 80×2=160

Therefore the answer is 100+160 = 260.

Answer 3

(10^2)+(12^2)
100+144=244