Question

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 ?
A) 322
B) 319
C) 321
D) 320

Answer 1

Answer: D - 320

Step-by-step explanation:

Explanation:

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