Question
If x + 1/x = 5 then find out the value of x⁵ +
1/(x⁵)?Solution
If x + (1/x) = 5 Then x2 + 1/x2 = 23 and x3 + 1/x3 = 110 so x5 + 1/x5 = (x2 +1/x2) (x3 +1/x3) - (x + 1/x) x5 + 1/x5 = (23 × 110) - (5) => 2530 - 5 = 2525 Formula used: If x + 1/x = a x2 +1/x2 = a²- 2 x + 1/x = a x3 +1/x3 = a³ - 3a
(14.073)² + (32.103)² + (43.9653)² + (52.983)² + ? = (102.45)² + (98.007)²
22, 37, 63, 98, 148, ?
51, 60, 78, ?, 141, 186
97, 106, ?, 195, 411, 460
What will come in place of the question mark (?) in the following series?
20, 21, 30, 55, 104, 185, ?
What will come in place of the question mark (?) in the following number series?
29, 30, 33, ?, 69, 150
120 124 151 167 292 ?
What value should come in the place of (?) in the following number series?
192, 96, 96, 144, ?, 72010, ?, 50, 100, 250, 500
7 29 61 ? 211 349
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