What is the value of
1/3×7 + 1/7×11 + 1/11×15 +.....+ 1/899×903 ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3, i.e. 25/301
=1/3×7 + 1/7×11 + 1/11×15 +.....+ 1/899×903
=1/4[1/3 - 1/7 + 1/7 - 1/11 +.....+1/899 - 1/903]
=1/4[1/3 - 1/903]
=1/4[301-1/903] = 300/4×903 = 25/301