Question

1,13,41,85,_221,313 ​

Answer 1

145 is the correct answer...

Answer 2

• The missing term in the given series will be 145 .

To Find :- Missing term in the series :- 1, 13, 41, 85, _, 221, 313 ?

Logic :-

• Each term in the series :- (n)² + (n - 1)², where n = Odd numbers .

Explanation :-

when n = 1,

→ 1² + (1 - 1)² = 1 + 0 = 1

when n = 3,

→ 3² + (3 - 1)² = 9 + 4 = 13

when n = 5,

→ 5² + (5 - 1)² = 25 + 16 = 41

when n = 7,

→ 7² + (7 - 1)² = 49 + 36 = 85

when n = 9,

→ 9² + (9 - 1)² = 81 + 64 = 145 (Ans.)

when n = 11,

→ 11² + (11 - 1)² = 121 + 100 = 221

when n = 13,

→ 13² + (13 - 1)² = 169 + 144 = 313

Hence, the missing term in the series will be 145 .

Learn more :-

Find the series 11, 13, 19, 49, 109, 239,?

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