If 10 n + 3.4^n+2 + is divisible by 9 then find k will mark brainliest
Answers
Answered by
1
Answer : 5 - five
I hope it helps you...................
Attachments:
Answered by
1
Step-by-step explanation:
10n+3.4^n+2+k is divisible by 9
=> digital sum of the number is 9 or its multiple
if n=1
=> 10+12+2+k = 24+k
digital sum = 6+k=> k = 9-6 = 3
if n=2
=> 20+48+2+k
digital sum = 7+k => k = 9-7 = 2
if n = 3
=> 30+192+2+k
digital sum = 8+k=> k = 9-8 = 1
if n=4
40+768+2+k
digital sum = 9+k => k = 9-9 = 0
if n= 5
50+3072+2+k
digital sum = 1+k => k = 9-1 = 8
if n= 6
=> 60+12288+2+k
digital sum = 2+k=> k = 9-2 = 7
from the above 0≤ k ≤8
or k= [ 0,8]
hope this helps you
Similar questions