Question

How many muthi ples ob 5 19e between
10 and 250​

Answer 1

To Find:-

The multiples of 5 lying between 10 and 250.

Analysis:-

Form an AP. Identify the first term,common difference and last term. The multiples is lying between 10 and 250.So,we should take multiples between them.Then,do the sum using the equation to find the number of terms.

Formulae Applied:-

An = a + (n - 1) d

An = last term

a = first term

n = number of terms

d = common difference

Solution:-

AP : 15,20,25........245.

a = 15

d = 20 - 15 = 5

an = 245

An = a + (n - 1) d

245 = 15 +(n - 1) 5

245 - 15 = (n - 1) 5

230 = (n - 1) 5

(n - 1) 5 = 230

(n - 1) = 230/5

(n - 1) = 46

n = 46 + 1

n = 47

n = 47

Therefore,

The multiples of 5 lying between 10 and 250 is 47.

Important Formulae:-

➝ An = a + (n - 1) d

➝ Sn = n/2 (2a + (n - 1) d)

➝ Sn = n/2 (a + an)