Question

9 20 52 100 159 226 wrong no

Answer 1

Answer: 226 is the wrong number in the given series.

Given: The series 9 20 52 100 159 229 is given. We will call it the original series.

To Find: We have to find the wrong number in the given series.

Step-by-step explanation: We will use the following approach to get the answer:

Step 1: We will calculate the difference between each of the terms.

$d_{1}$ = 20-9 = 11

$d_{2}$ = 52-20 = 32

$d_{3}$ = 100-52 = 48

$d_{4}$ = 159 - 100 = 59

$d_{5}$ = 226 - 159 = 67

Now, we can see the above calculated differences are itself in series. We will call this series 1.

Step 2: We will calculate the difference of terms in the above series.

$d_{21}$ = 32 -11 = 21

$d_{32}$ = 48 - 32 = 16

$d_{43}$ = 59-48 = 11

$d_{54}$= 67 - 59 = 8

Now, we can see that above calculated difference are forming a series except the last term. In the above series each term is decreasing by 5 except the last term. Therefore $d_{54}$ is the wrong term in this series.

Step 3: In step 2, we saw that the difference between 5th and 4th term of the series 1 should have been 6 but it is 8. It means the term $d_{5}$ is wrong in the series 1. The term $d_{5}$ should have been 65. If the term $d_{5}$ would have been 65 then the final term in the original series would be 159+65 = 224. Therefore, 224 should be the last term for the original series. In the original series the last term is 226, therefore 226 is the wrong number in the original series.

To learn more about series questions refer to the links below:

https://brainly.in/question/5317454

https://brainly.in/question/37174020

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