How many multiples of 4 lie between 10 and 250?
Let, multiple of 4 lies between 10 and 250
12, 16, 20, 24,…248
We know, an = a + (n – 1)d
First term, a = 12
C0mmon difference, d = 16 – 12 = 4
Last term, an = 248
an = a+ (n – 1)d
248 = 12 + (n – 1) 4
248 = 12 + 4n – 4
4n = 248 – 12 + 4
4n = 240
n = 60
Hence, multiple of 4 lies between 10 and 250 is 60