Question

Write down the next four terms
-4, -1, 2, _, _ , _, _
2, 3 , 5 ,8, _, _, _, _,

Answer 1

(1 ) -4, -1, 2, 5, 8, 11, 14

Explanation:

To get -1 from -4, we added 3 to it:

⟹ ( -4 ) + ( 3 ) = ( -1 )

To get 2 from -1, we added 3 to it :

⟹ ( -1 ) + ( 3 ) = ( 2 )

Likewise, we could get the next four terms by adding 3 to the previous Number.

⟼ 2 + 3 = 5

⟼ 5 + 3 = 8

⟼ 8 + 3 = 11

⟼ 11 + 3 = 14

So, 5, 8, 11 and 14 are the next four terms.

(2) 2, 3, 5, 8, 12, 17, 23, 30

Explanation:

In order to get the next term, we are adding successor of the previously added number. i.e. we adding 1, 2, 3, 4........

⟼ 2 + 1 = 3

⟼ 3 + 2 = 5

⟼ 5 + 3 = 8

⟼ 8 + 4 = 12

⟼ 12 + 5 = 17

⟼ 17 + 6 = 23

⟼ 23 + 7 = 30

So, 12, 17, 23 and 30 are the next four terms.