Show answer & explanation
Correct answer: A
Explanation
Given:
750 1/3 + 750 1/15 + 750 1/35 + … + 750 1/99
According to the formula:
1/(n(n+2)) = 1/2 [1/n − 1/(n+2)]
Total terms = 5
Integral part = 750 × 5 = 3750
Fractional part:
1/3 + 1/15 + 1/35 + 1/63 + 1/99
= 1/2 (1 − 1/11)
= 1/2 × (10/11)
= 5/11
Total sum = 3750 + 5/11
= 3750 (5/11)