Find the wrong term in the given series:

800, 678, 579, 497, 434, 385, 349

Question

Find the wrong term in the given series:

800, 678, 579, 497, 434, 385, 349

Accepted Answer

**Solution:**

1. Analyze the differences between consecutive terms:
   - From 800 to 678: difference = 800 - 678 = 122
   - From 678 to 579: difference = 678 - 579 = 99
   - From 579 to 497: difference = 579 - 497 = 82
   - From 497 to 434: difference = 497 - 434 = 63
   - From 434 to 385: difference = 434 - 385 = 49
   - From 385 to 349: difference = 385 - 349 = 36

2. Check if these differences follow a pattern:
   - 122, 99, 82, 63, 49, 36

3. Notice the pattern can be expressed as alternating subtraction of squares plus or minus 1:
   - 122 = 11² + 1 = 121 + 1
   - 99 = 10² - 1 = 100 - 1
   - 82 = 9² + 1 = 81 + 1
   - 63 = 8² - 1 = 64 - 1
   - 49 = 7² + 1 = 49 + 0 (here it should be 7² + 1 = 49 + 1 = 50, but difference is 49)
   - 36 = 6² - 1 = 36 - 1 = 35 (difference is 36, so mismatch)

4. The correct pattern should be:
   - 800
   - 800 - (11² + 1) = 800 - 122 = 678
   - 678 - (10² - 1) = 678 - 99 = 579
   - 579 - (9² + 1) = 579 - 82 = 497
   - 497 - (8² - 1) = 497 - 63 = 434
   - 434 - (7² + 1) = 434 - 50 = 384 (not 385)
   - 384 - (6² - 1) = 384 - 35 = 349

5. The term 385 is incorrect; it should be 384 to maintain the pattern.

**Answer:** 385

Answer

Answer

Answer

Answer