Question Discussion & Solution

CALCULATIONS:

11 × 1 + 0 = 11

⇒ 12 × 2 + 5 = 29

⇒ 13 × 3 + 10 = 49

⇒ 14 × 4 + 15 = 71

⇒ 15 × 5 + 20 = 95

Considering the above series-

295, 286, 268, 241, 205, ?

The logic of the series can be explained as,

295 – 9 = 286

286 – 18 = 268

268 – 27 = 241

241 – 36 = 205

By observing the pattern, we can write

205 – 45 = 160

⇒ ? = 160

∴ The value of ? is 160.

The series follows the following pattern:

45 + 3² = 54

54 + 4² = 70

70 + 5² = 95

95 + 6² = 131

131 + 7² = 180

CALCULATIONS:

21² - 21 = 441 - 21 = 420

22² - 22 = 484 - 22 = 462

23² - 23 = 529 - 23 = 506

24² - 24 = 576 - 24 = 552

25² - 25 = 625 - 25 = 600

26² - 26 = 676 - 26 = 650

The series follows the following pattern:

17 × 1 + 5 = 22

22 × 2 + 4 = 48

48 × 3 + 3 = 147

147 × 4 + 2 = 590

590 × 5 + 1 = 2951

∴ The missing term in the series is 590.