Question

how many integers divisible by 6lie between 30and39​

Answer 1

Answer:

2.

Step-by-step explanation:

30 and 36.

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Answer 2

Answer:

There are 11 integers divisible by 6 lie between -30 and 39.

step by step :

There will be difference of 6 in between integers which are divisible by 6 and lie between -30 and 39.

This will form A.P.

given,

Integers lies between -30 and 39

to find ,

Number of integers which are divisible by 6.

solution ,

Integers which are divisible by 6 and lie between -30 and 39 are

-24,-18,-12,...,36

Here,

-18-(-24)=6

-12-(-12)=6

Therefore the common difference is 6 and sequence forms an A.P.

In this sequence,

t1=a=-24,d=6 and tn=36

tn=a+(n-1)d....formula

36=-24+(n-1)6

6(n-1)=36+24

6(n-1)=60

n-1= 60/6

n=10+1

n=11

-24,-18,-12,-6,0,6,12,18,24,30,36

a total of 11 integers

There are 11 integers divisible by 6 lie between -30 and 39.

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