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A series is given with one term missing....

A series is given with one term missing. Choose the correct alternative from the given ones:
निम्नलिखित प्रत्येक प्रश्न में एक अनुक्रम दिया है, जिसमें एक पद लुप्त है। दिये गये विकल्पों में से सही विकल्प चुनिये जो अनुक्रम को पूरा करे :
60, 121,243,?

A

480

B

487

C

484

D

486

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing term in the series 60, 121, 243, we will analyze the differences between the consecutive terms and identify a pattern. ### Step-by-Step Solution: 1. **Identify the First Difference:** - Calculate the difference between the first two terms: \[ 121 - 60 = 61 \] 2. **Identify the Second Difference:** - Calculate the difference between the second and third terms: \[ 243 - 121 = 122 \] 3. **Observe the Pattern in Differences:** - The first difference is 61 and the second difference is 122. - Notice that the second difference (122) is double the first difference (61): \[ 122 = 2 \times 61 \] 4. **Calculate the Next Difference:** - Following the observed pattern, the next difference should be double the second difference: \[ \text{Next difference} = 2 \times 122 = 244 \] 5. **Find the Missing Term:** - Add the next difference (244) to the last known term (243): \[ 243 + 244 = 487 \] Thus, the missing term in the series is **487**.

To find the missing term in the series 60, 121, 243, we will analyze the differences between the consecutive terms and identify a pattern. ### Step-by-Step Solution: 1. **Identify the First Difference:** - Calculate the difference between the first two terms: \[ 121 - 60 = 61 ...
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