Home
Class 14
MATHS
10,5,13,10,16,20,19 (…)...

10,5,13,10,16,20,19 (…)

A

22

B

40

C

38

D

23

Text Solution

AI Generated Solution

The correct Answer is:
To solve the series: 10, 5, 13, 10, 16, 20, 19, we need to identify the pattern in the numbers. ### Step-by-Step Solution: 1. **Identify the Pattern**: - Let's separate the series into two alternating sequences: - Sequence A: 10, 13, 16, 19 - Sequence B: 5, 10, 20 2. **Analyze Sequence A**: - The first sequence (A) is: 10, 13, 16, 19 - The pattern here is that each number increases by 3: - 10 + 3 = 13 - 13 + 3 = 16 - 16 + 3 = 19 - Therefore, the next term in Sequence A would be: - 19 + 3 = 22 3. **Analyze Sequence B**: - The second sequence (B) is: 5, 10, 20 - The pattern here is that the numbers are increasing: - 5 + 5 = 10 - 10 + 10 = 20 - The next term in Sequence B would be: - 20 + 20 = 40 4. **Combine the Sequences**: - Now we can combine both sequences back into one: - The next term after 19 in the overall series would be from Sequence B, which is 40. 5. **Conclusion**: - Hence, the next term in the series 10, 5, 13, 10, 16, 20, 19 is **40**.
Promotional Banner

Topper's Solved these Questions

  • NUMBERS

    UPKAR PUBLICATION |Exercise QUESTION BANK |74 Videos

  • PARTNERSHIP

    UPKAR PUBLICATION |Exercise QUESTION BANK|49 Videos

Similar Questions

Explore conceptually related problems

If the mean of the following distribution is 13, then p = {:(x_(i) :,5,10,12,17,16,20),(f_(i) :,9,3,P,8,7,5):}

The marks obtained by 40 students of class VIII in an examination are given below: 16,17,18,3,7,23,18,13,10,21,7,1,13,21,13,15,19,24,16,3, 23,5,12,18,8,12,6,8,16,5,3,5,0,7,9,12,20,10,2,23 Divide the data into five groups, namely 0-5, 5-10, 10-15, 15-20 and 20-25 and prepare a grouped frequency table.

Find the mode of the following data 10,5,20,25,10,13,17,13,22,13

Find the mode of the following data: 25,16,19,48,19,20,34,15,19,20,21,24,19,16,22,16,18,20,16,19

The scores in mathematics test (out of 25) of 15 students is as follows: 19,25,23,20,9,20,15,10,5,16,25,20,24,12,20 Find the mode and median of this data.Are they same?

{:(9,11,13),(13,15,17),(10,12,14),(14,16,18),(11,13,?):}

Estimate the mode of the following data from the histogram. {:("Class Interval",0-10,10-20,20-30,30-40,40-50,50-60,60-70,70-80),("Frequency",8,10,15,16,20,13,14,12):}

4, 7, (9), 10, 13, 15, (16), 19

Find the median of 10, 12, 11, 13, 20, 22, 10, 8, 19. A) 11 B) 13 C) 11.5 D) 12