Question

How many 3-digit number are there between 56 and 356?

Answer 1

Answer:

256

Step-by-step explanation:

The 3-digit numbers between 56 to 356 are:

The 3-digit number starts from 100

Now, applying the formula of AP of aₓ, where we consider aₓ is 356 since it is the last term

Now, aₓ = 356

a = 100

d = 1

n =?

Now, aₓ = a + (n-1) d

⇒ 356 = 100 + (n-1)1

⇒ n-1 = 356 - 100

⇒ n = 256 + 1 = 257 (including 356)

Here we have to find between 356 and 56

∴ 3-digit number between 56 and 356 is 257 - 1 = 256

Alternate method:

The 3-digit numbers between 56 to 356 are:

The 3-digit number starts from 100

356 - 100 = 256