Question

LIST ALL THE EVEN NUMBER 1 TO 100

Answer 1

Smallest even number between 1 to 100 = 2
Largest even number between 1 to 100 = 98

therefore,required AP = 2, 4, 6, 8, 10....... 98

a=2
d=4-2
=2

$= > t_{n} = a + (n - 1)d \\ = > 98 \: = 2 + (n - 1)2 \\ = > \frac{98 - 2}{2} = n - 1 \\ = > \frac{96}{2} = n - 1 \\ = > 48 + 1 = n \\ therefore \: n \: = 49$
49 even numbers will be there between 1 to 100

they are:-
$\bold {2,4,6,8,10, \\ 12,14,16,18,20, \\ 22,24,26,28,30, 32,34,36,38,40, \\ 42,44,46,48,50, \\ 52,54,56,58,60, \\ 62,64,66,68,70, \\ 72,74,76,78,80, \\ 82,84,86,88,90, \\ 92,94,96,98}$