Question

Identify the number that needs to be added to each number, and complete the number series.

9, __, __, 24, 29, __, __, __

• A. Add 5; 14, 19; 34, 39, 44
  
• B. Add 10; 14, 19; 34, 39, 44
  
• C. Add 5; 14, 24; 39, 44, 54
• D. Add 10; 19, 29; 39, 49, 59
  

Answer 1

The correct option is A Add 5; 14, 19; 34, 39, 44


Say: Let us identify the number of jumps needed to complete the pattern, and find the missing numbers.

Steps:
$\bullet$ The first given number is 9, but there is no number next to it for us to identify the sequence, so we look at the next set of consecutive numbers, i.e., 24 and 29.
$\bullet$ We can see that 5 is added to 24 to get 29, so we add 5 to each number in the pattern to get the next number.
$\bullet$ So, the number after 9 will be $9+5=14$, then $14+5=19$.
$\bullet$ Then $29+4=34,34+5=39,39+4=44$
$\bullet$ So, we add 5 to each number to get the next number and the complete sequence is $9,\underset{–}{14},\underset{–}{19},24,29,\underset{–}{34},39,\underset{–}{44}$.
$\bullet$ Hence, option D is the correct answer.

WB: If required, use the whiteboard to identify the rule and find the missing numbers as shown.
<Note: If required, show the number markings between two numbers on the number line.>