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find the number of three digit positive integers which are divisible by 11​

Answer 1

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student-name Naman asked in Math

Find the number of three digit positive integers which are divisible by 11.

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student-name Kamal Kant answered this

138 helpful votes in Math, Class XII-Science

least 3 digit no. is 100. first 3 digit no. divisible by 11 is 110

largest 3 digit no. is 999. largest 3 digit no. divisible by 11 is 990.

then,

a= 110, d=11, an= 990.

we hav to find 'n'.

an=a+(n-1)d

by puting the values

or 990=110+(n-1) 11

or (n-1) 11= 990-110

or (n-1) 11=880

or n-1= 880/11

or n-1= 80

or n= 80+1

n= 81

so there are 81 multiples of 11 lies between 100 and 999..

Answer 2

Answer:

n=81

Step-by-step explanation:

tn=a+(n-1)d

a=110

d=11

tn=990