4, 9, 20, 44, ?
Number Series: Finding the Missing Term
Pattern Analysis
Observe the relationship between consecutive terms in the series: 4, 9, 20, 44.
- The first term is 4.
- The second term (9) can be obtained from the first term (4) as: $(4 \times 2) + 1 = 8 + 1 = 9$.
- The third term (20) can be obtained from the second term (9) as: $(9 \times 2) + 2 = 18 + 2 = 20$.
- The fourth term (44) can be obtained from the third term (20) as: $(20 \times 2) + 4 = 40 + 4 = 44$.
The pattern involves multiplying the previous term by 2 and adding an increasing number. The sequence of numbers added is 1, 2, 4.
Let's examine the differences between these added numbers:
- $2 - 1 = 1$
- $4 - 2 = 2$
The difference between the added numbers increases by 1 each time (1, 2, ...). Therefore, the next number to add should be $4 + 3 = 7$.
Step-by-Step Calculation
Applying the identified pattern to find the missing fifth term:
- Term 1: 4
- Term 2: $(4 \times 2) + 1 = 9$
- Term 3: $(9 \times 2) + 2 = 20$
- Term 4: $(20 \times 2) + 4 = 44$
- Term 5: The next number to add is $4 + 3 = 7$. So, the calculation is $(44 \times 2) + 7$.
- Calculation: $(44 \times 2) + 7 = 88 + 7 = 95$.
The missing number in the series is 95.
Similar Questions
In the following series, one number is missing as shown by the question mark (?). Select the missing number form the given options.
8, 12, 16, 20, ?Select the number missing from the given series.
3, 12, __________, 21612In the following series, one number is missing as shown by the question mark (?) select the missing number from the given options.
3, 8, 13, 18, ?Select the number missing from the given sequence.
1, 2, 6, ______, 120, 720Find the next two terms in the series.
J, L, O, S, ?, ?Find the next term in the series.
X, V, T, R, P, ?What will be next number in the series?
0, 1, 4, 27, 16, 125, 36, ?Choose the correct alternative which will complete the following series.
4, 8, 12, 24, 18, ?Choose the correct alternative which will complete the following series:
21, 55, 19, 45, 17, 35, ?
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
15, 45, 75, 105, ?
Identify the number that does NOT belong to the following series.
18, 27, 35, 45, 54
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 41, 50, 66, ?
दिए गए विकल्पों में से वह संख्या चुनिए जो निम्नलिखित श्रृंखला में प्रश्नवाचक चिन्ह (?) को प्रतिस्थापित कर सके।
20, 21, 25, 34,?, 75
Select the correct option that will fill in the blank and complete the series.
45, 49, 58, 74, .........
