Question

How many 4 digit no are divisible by 7​

Answer 1

Answer:

HOPE IT HELPS U MARK AS BRAINLIEST

Explanation:

1300

Answer 2

We have,

• To find number of multiple of 7 which have 4 digits.

We need to know,

• First 4 digit nunber being multiple of 7 = 1001
• Last 4 digit nunber being multiple of 7 = 9996

Here,

$\large\rm{a_{1} = 1001} \\ \large \rm{a_{n} = 9996} \\ \large \rm{ \: \: d = 7}$

Thus, Applying formula,

$\rm \large{a_{n} = a_{1} + (n - 1)d }$

$\bf = > 9996 = 1001 + (n - 1)7 \\ \bf = > 9996 - 1001 = (n - 1)7 \\ \bf= > 8995 = (n - 1)7 \\ \\ \bf= > n - 1 = \frac{8995}{7} \: \: = 1285 \\ \bf = > \: \: \: \: \: n= 1285 + 1 \: \: \: = \red{1286}$

Hence,

• There exist 1286 number which have 4 digits & are divisible by 7.