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Find out the missing term in the series ...

Find out the missing term in the series `"…….."`7980,26970,63960,124950.

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To find the missing term in the series "…….." 7980, 26970, 63960, 124950, we will analyze the pattern in the series step by step. ### Step 1: Identify the pattern in the series We will look at the given terms and try to find a relationship between them. The terms are: - 7980 - 26970 - 63960 - 124950 ### Step 2: Analyze the terms Let's examine the last term (124950) and see if we can find a pattern by working backwards. ### Step 3: Check the cube and subtraction pattern From the video transcript, it suggests that the terms can be expressed in the form of cubes minus a number. We will check this hypothesis. 1. **For the last term (124950)**: - It suggests using \(50^3 - 50\). - Calculate \(50^3 = 125000\). - Now, \(125000 - 50 = 124950\). 2. **For the third term (63960)**: - It suggests using \(40^3 - 40\). - Calculate \(40^3 = 64000\). - Now, \(64000 - 40 = 63960\). 3. **For the second term (26970)**: - It suggests using \(30^3 - 30\). - Calculate \(30^3 = 27000\). - Now, \(27000 - 30 = 26970\). ### Step 4: Find the first term Now, we need to find the first term in the series. Following the same pattern: - For the first term, we will use \(20^3 - 20\). - Calculate \(20^3 = 8000\). - Now, \(8000 - 20 = 7980\). ### Conclusion Thus, the missing term before 7980 is \(20^3 - 20 = 7980\). ### Final Answer The missing term in the series is **990**.
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ARIHANT SSC-NUMBER SERIES -HIGHER SKILL LEVEL QUESTIONS
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