Question

What is the pattern rule for 3 4 6 10 18

Answer 1

Difference between number is getting Doubled , Tₙ₊₁   = Tₙ  + 2ⁿ⁻¹

Step-by-step explanation:

3        4           6            10           18         34

     1           2           4             8            16

1 * 2 = 2

2 * 2 = 4

4 * 2 = 8

Difference between number is getting Doubled

or we can say

1  = 2⁰

2 = 2¹

4 = 2²

8 = 2³

Tₙ₊₁   = Tₙ  + 2ⁿ⁻¹

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Answer 2

Given series- 3 4 6 10 18

Let us assume the:

position of 3 is 0

position of 4 is 1

position of 6 is 2

position of 10 is 3

So, after every number we add 2^(position) to obtain the next number.

3+2^0=4

4+2^1=6

6+2^2=10

10+2^3=18