Question

Find the number which will replace the ? In the given sequence 1,2,3,7,15,24,51,67 ?

Answer 1

Answer:

131 Replaces ? in sequence 1, 2, 3, 7, 15, 24, 51, 67, ?

Given:

Sequence

1, 2, 3, 7, 15, 24, 51, 67, ?

To Find:

What replaces ?

Solution:

Step 1:

Understand the sequence

1

1 + 1² = 2

2 + 1³ = 3

3 + 2² = 7

7 + 2³ = 15

15 + 3² = 24

24 + 3³ = 51

51 + 4² = 67

Step 2:

Applying the same logic

67 + 4³ = 131

Hence 131 Replaces ?

Sequence can be represented as :

T₂ₙ  = T₂ₙ₋₁  + n²

T₂ₙ₊₁  = T₂ₙ   + n³

Where n≥ 1 , n∈ Z  and T₁ = 1

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