Question

3,3,5,25,119,? number series ​

Answer 1

Answer:

Here the logic followed is:

2 × 1 – 2 = 0

0 × 2 + 3 = 3

3 × 3 - 4 = 5

5 × 4 + 5 = 25

25 × 5 – 6 = 119

119 × 6 + 7 = 721

Hence, 721 is the correct answer.

Answer 2

Correct Question :- Next number in series :- 2, 0, 3, 5, 25, 119, ?

Logic :-

• Odd places terms = Previous term × Odd place value - (Odd place value + 1) = Previous term × n - (n + 1)
• Even places terms = Previous term × Even place value + (Even place value + 1) = Previous term × m - (m + 1) .
• Here n are odd values and m are even values .

Explanation :-

First term :- 2

→ n = 1

So,

→ 2 × 1 - (1 + 1)

→ 2 - 2

→ 0

Second term :- 0

→ m = 2

So,

→ 0 × 2 + (2 + 1)

→ 0 + 3

→ 3

Third term :- 3

→ n = 3

So,

→ 3 × 3 - (3 + 1)

→ 9 - 4

→ 5

Fourth term :- 5

→ m = 4

So,

→ 5 × 4 + (4 + 1)

→ 20 + 5

→ 25

Fifth term :- 25

→ n = 5

So,

→ 25 × 5 - (5 + 1)

→ 125 - 6

→ 119

Sixth term :- 119

→ m = 6

So,

→ 119 × 6 + (6 + 1)

→ 714 + 7

→ 721 (Ans.)

Hence, the next term in the series will be 721 .

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