IIT JEE , AIEEE Forum - Mathematics , Algebra

vineetnegi

you mean to say

7^(1996)+((7^1996)with first digit striked off) ) and so on

guys I am not sure my ans

but i thought toput it to you

it is 7^(1996)

right

observe the patterm

unit place

7^0= unit place 0

7^1 = 7

patern

1,7,9,3 ,1 so on

so

unit digit in 7^1996

(1996+1)mod4

=1

first in pattern =1

same way for tens digit

pattern is

0,0,4,4,0,0

it can be found that tens place in 7^1996

will be 0

no. of digit in

7^1996 are

1687

there fore to get ten digit left we need to repeat process

1687-10=1677

which means

that

last ten digits get added again and again 1677 times

last digit was ................01*1677

which gives............................77

again i not sure that this is correct or not