Question

Complete the series
 $ 0,2,3,5,8,10,15,17,24,26.... $
A. $ 35 $
B. $ 32 $
C. $ 30 $
D. $ 28 $
E. $ 25 $

Answer 1

Hint: To find out the next number in the given series, we will first find out the pattern of the sequences followed and then eventually the next number in between the given series. First of all observe the given series, find the correlation between the numbers and find the pattern or the structure of the series.

Complete step-by-step answer:
Given series: $ 0,2,3,5,8,10,15,17,24,26.... $
Here we can identify that the given sequence is the combination of two sequences. One sequence has the common difference by adding the odd number to the preceding value starting from the number and so on one adding odd numbers in the series and second series follow the pattern in such a way with the pattern adding $ + 3, + 5, + 7, + 9..... $
First sequence is - $ 0,3,8,15,24.... $
Second sequence is $ 2,5,10,17,26 $
Therefore, for the next term in the sequence the value is $ 24 + 11 = 35 $
Hence, from the given multiple choices the option A is the correct answer.
So, the correct answer is “35”.

Note: Always know and be good in basic four operations that is Division, Multiplication, Addition and the subtraction and use different techniques and ways to identify the correct pattern to know the next numbers in the series.