how many multiples if 4 lie between 10 and 260?

The list of the number of multiples of 4 between 10 and 260 are :12, 16, 20, ............256.The above sequence is in AP, withfirst term, a = 12common difference, d = 4Let n be the number of terms in the above sequence.Let an = 256a+n-1d = 25612 + n-14 = 2564n-1 = 244n-1 = 62n = 63So, number of multiples of 4 between 10 and 264 = 63

  • -1
12,16,20....
a= 12
d=4
an = 260
an= a+ (n-1) d
260=12+(n-1)4
260-12=4n-4
248+4=4n
252=4n
2524=n
51.50=n
  • -5
12,16.......256
a=12
d=4
an=256
256=12+(n-1)4
256-12=(n-1)4
244/4=(n-1)
n-1=61
n=62
  • 3
here a=12 d=4 an=248
I would recommend u to memorise the formula
n=(an-a+d)/d
=(248-12+4)/4=240/4=60
  • 0
Sorry i subtracted 1 from 61 instead of adding...The ans will be

n-1 = 61
n = 62
  • 2
The smallest multiple of 4 after 10 is 12. The largest multiple of 4 before 260 is 256.
a = 12, d = 4, an = 256

Now,
an = a + (n-1)d
256 = 12 + (n-1)4
256 - 12 = (n-1)4
244 = (n-1)4
n-1 = 244 / 4
n-1 = 61
n = 60.

Therefore 60 multiplies of four lie between 10 and 260.

 
  • -4
63 is my ans of this quesion
  • 0
62
  • 2
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