Question
What is the value of 1/15 + 1/35 + 1/63 + 1/99 + 1/143
?Solution
1/(3×5) + 1/(5×7) + 1/(7×9) + 1/(9×11) + 1/(11×13) ⇒ (total terms)/(smallest term × largest term) ⇒ 5/(3×13) = 5/39 Alternate method: 1/(3×5) + 1/(5×7) + 1/(7×9) + 1/(9×11) + 1/(11×13) = 1/(difference ) {T1-Tlast }= 1/2 {1/3-1/13}=1/2 {10/39}=5/39
More Simplification Questions
? = 41.92% of (34.92 x 40.42) + 29.78% of 399.84
If 4tan4 + 9 – 12tan2 = 0, then find the value of cot.
Solve the given equation for ?. Find the approximate value.
(124.85% of 639.77 – 39.85% of 450.21) × (√224.85 ÷ √35.96) = ?
...9.95% of 1299.99 + 19.95 × 17.05 - 299.99 = ?
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
[(2/3 of 599.77) + (39.69% of 450.14)] ÷ [(5/8 of 399.79) - √120.91] = ?
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
? = 782.24 + 1276.97 – 4.992
1120.04 – 450.18 + 319.98 ÷ 8.06 = ?
25, 28, 26, 29, 27, ?
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