Question

19, 2 , 38, 3, 144, 4, ?​

Answer 1

Answer:

19, 2, 38, 3, 114, 4,___,___,__

Numbers at the even places are 2, 3, 4, 5, ....

Numbers at the odd places are :-

number at 1st place = 19 x 1 = 19

number at 3rd place = 19 x 1 x 2 = 38

number at 5th place = 19 x 1 x 2 x 3 = 114

number at 7th place = 19 x 1 x 2 x 3 x 4 = 456

number at 9th place = 19 x 1 x 2 x 3 x 4 x 5 = 2280

so the sequence is

19, 2, 38, 3, 114, 4, 456, 5, 2280.

sum of last three terms = 456 + 5 + 2280 = 2741