Question

How many multiples of 3 lie between 40 and 500.

Answer 1

Answer:

153

Step-by-step explanation:

We find multiples of 3 lie between 40 and 500

So firstly arrange in the tems of A.P

First term is 42 and last term is 498

So a.p will be

42, 45, 48,..........., 498

Now we find n

An= a +( n-1) d

498= 42+ (n-1) 3

(n-1) 3 = 456

(n-1)= 456/3

(n-1)= 152

n= 153 terms

I hope answer will help you so please mark

Answer 2

42,45...........498

a+(n-1)d=an

42+(n-1)3=498

(n-1)3=498-42

(n-1)3=456

n-1=456/3

n-1=152

n=152+1

n=153