Question
Download Solution PDF\(\frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} + \frac{1}{7.9} = ?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Expression to evaluate: (1)/(1×3) + (1)/(3×5) + (1)/(5×7) + (1)/(7×9)
Formula Used:
Calculation:
⇒ 1/2 × [(1/1 - 1/3) + (1/3 - 1/5) + (1/5 - 1/7) + (1/7 - 1/9)]
Observe cancellation of terms:
⇒ 1/2 × (1/1 - 1/9)
Simplify:
⇒ 1/2 × (1 - 1/9)
⇒ 1/2 × [(9 - 1)/9]
⇒ 1/2 × (8/9)
⇒ 8/18
⇒ 4/9
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