Question

2. 2, 5, 4, 10, 8, 17 14,22
(1) 24
(2) 25
(3) 26
(4) 30
A1010 10
12​

Answer 1

Q2. 2, 5, 4, 10, 8, 17 14, __, 22 - Find the sequence.

Step-by-step explanation:

• The correct answer is 26. (option 3).

In the given sequence,

• In the given sequence,

• The pattern followed in the sequence is the addition of multiples of 3 in the former number.

• The subtraction of the multiples of 1 in the later number

⇒ 2 - (1 × 0) = 2 [ Subtraction and Multiplication of 1 × 0]

⇒ 2 + (3 ×  1) = 5 [ Addition and Multiplication of 3 ×  1]

⇒ 5 - (1 ×  1)  = 4 [ Subtraction and Multiplication of 1 × 1]

⇒ 4 + (3× 2) = 10 [ Addition and Multiplication of 3 ×  2]

⇒ 10 - (1 × 2)   = 8  [Subtraction and Multiplication of 1 × 2]

⇒ 8 + (3 × 3 )= 17  [Addition and Multiplication of 3 ×  3]

⇒ 17 -( 1 ×  3 ) = 14  [Subtraction and Multiplication of 1 × 3]

⇒ 14 + (3 ×  4) = 26  [Addition and Multiplication of 3 ×  4]

⇒ 26 - (1 ×  4 )= 22  [Subtraction and Multiplication of 1 × 4]

Therefore, the correct sequence is  2, 5, 4, 10, 8, 17 14, 26, 22.

Answer 2

Given : Correct Question is

2,2,5,4,10,8,17,14,_,22​

To Find : Missing Number

(1) 24

(2) 25

(3) 26

(4) 30

Solution:

2,2,5,4,10,8,17,14,_,22​

2  -  0   =   2

2   + 3*1   = 5

5  -   1    =   4

4  +  3*2   = 10

10  - 2      = 8

8  + 3*3   = 17

17   -  3    = 14

14   + 3*4   = 26

26  - 4     = 22

Hence missing number is 26

Logic is here alternate series

subtraction of 0 , 1 , 2   ...........  from previous number

Addition of  3 , 6 , 9 , 12  in previous number

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