A sequence of natural number 2,3,5,6,10............. such that no square and no cube occurs in the term.find the 300th term of sequence.

option dont remenber.

• From 1 to 300 natural numbers 300 would have been the 300th natural number.
  Now we removed squares between 1 to 300 which will be 1, 4, 9, 16 till 289 so total 17 numbers.
  We then removed cubes from 1 to 300 1, 8, 27, 125, 216 5 cubes of which 1 and 64 are common. So in total, there are 21 numbers removed. So the 300th term would become 321 as there are no cubes or squares between 300 and 321.
• 7 years agoHelpfull: Yes(29) No(5)
• ans is 321
• 7 years agoHelpfull: Yes(4) No(1)
• 1 to 300 = 300 numbers
  squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17
  cubes = 1,8,27,64,125,216 i.e, 5
  now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )
  total 20 term removed so 300th term would be 320
• 7 years agoHelpfull: Yes(3) No(9)
• Squares 1 4 9 25 36 49 64 81 100 121 144 169 196 225 256 289 total 16 cubes 1 8. 27 64 125 216 total 6 overall 16+6 but 1 and 64 common counted 2 times each so 16+6-2 =20 so 300+ 20 = 320
• 7 years agoHelpfull: Yes(3) No(3)
• 1 to 300 = 300 numbers
  squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17
  cubes = 1,8,27,64,125,216 i.e, 5
  now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )
  total 20 term removed so 300th term would be 320
• 7 years agoHelpfull: Yes(1) No(2)
• 320 correct
• 7 years agoHelpfull: Yes(0) No(6)
• 1 to 300 = 300 numbers
  squares btwn 1 to 300 = 1,4,9,16,25,36,49.....289 i.e, total 17
  cubes = 1,8,27,64,125,216 i.e, 5
  now 1 and 64 are common so total numbers that should be removed ( 17+5-2= 20 )
  total 20 term removed so 300th term would be 320
• 7 years agoHelpfull: Yes(0) No(5)