Q12 of 105 Page 139

How many multiples of 4 lie between 10 and 250?

The multiples of 4 lie between 10 & 250 is

12, 16, 20,.....248


So, first term (a) = 12


Since it is multiples if 4 the common difference will be 4


an = 248


an = a + (n-1) d


248 = 12 + (n-1) 4


236 = 4(n-1)


59 = n-1


n = 60.


More from this chapter

All 105 →
10

Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?

 11

How many three-digit numbers are divisible by 7?

 13

For what value of n, are the nth terms of two APs: 63, 65, 67, …. And 3, 10, 17, …. Equal?

 14

Determine the AP whose third term is 16 and the 7thterm exceeds the 5thterm by 12.