Question

2,10,20,32,46,(?)
what comes next​

Answer 1

Answer:

58 is the right ans.....

Answer 2

2,10,20,32,46,62.

The logic which lies behind this sequence is that the difference between second and first term is calculate first as D₁. Then we find the difference between third and second term as D₂.

Then, D₂ - D₁ = 2.

Let missing term = x.

First term = 2

Second term = 10

Third term = 20

D₁ = 10 - 2 = 8

D₂ = 20 - 10 = 10

So, D₂ - D₁ =  10 - 8 = 2

First term = 10

Second term = 20

Third term = 32

D₁ = 20 - 10 = 10

D₂ = 32 - 20 = 12

So, D₂ - D₁ =  12 - 10 = 2

First term = 20

Second term = 32

Third term = 46

D₁ = 32 - 20 = 12

D₂ = 46 - 32 = 14

So, D₂ - D₁ =  14 - 12 = 2

First term = 32

Second term = 46

Third term = x

D₁ = 46 - 32 = 14

D₂ = x - 46 = x - 46

So, D₂ - D₁ = 2

⇒ (x - 46) - 14 = 2

⇒ x = 46 + 14 + 2 = 62

Missing term is 62.