Sequences and Series
Direction: What should come in place of the question mark in each of the following number series ?
- 39, 52, 78, 117, 169, ?,
-
View Hint View Answer Discuss in Forum
Series pattern
39 + 1 x 13 = 52
52 + 2 x 13 = 78
78 + 3 x 13 = 117
117 + 4 x 13 = 169Correct Option: C
Series pattern
39 + 1 x 13 = 52
52 + 2 x 13 = 78
78 + 3 x 13 = 117
117 + 4 x 13 = 169
169 + 5 x 13 = 234 Should come in place of ?
Direction: Find the missing term in each of the following series ?
- 41, 40, 36, ?, 11
-
View Hint View Answer Discuss in Forum
Series Pattern
(-1)2, (-2)2, (-3)2, (-4)2
Missing term = 36 - 32 = 27Correct Option: B
Series Pattern
(-1)2, (-2)2, (-3)2, (-4)2
Missing term = 36 - 32 = 27
- Find 1³ + 2³ + 3³ + .... + 15³
-
View Hint View Answer Discuss in Forum
According to question, we have,
1³ + 2³ + 3³ + ........ + n³ = n × (n + 1) ² 2
Here, n = number of terms = 15
Correct Option: D
According to question, we have,
1³ + 2³ + 3³ + ........ + n³ = n × (n + 1) ² 2
Here, n = number of terms = 15∴ n(n + 1) ² = 15 × 16 ² 2 2
Required answer = (120)² = 14400
- The wrong number in the sequence 1, 8, 27, 84, 125, 216, 343 is
-
View Hint View Answer Discuss in Forum
The given sequence is :
First term = 1³ = 1
Second term = 2³ = 8
Third term = 3³ = 27
Fourth term = 4³ = 84 is wrong term . So , 64 is correct number .
Fifth term = 5³ = 125
........... and so on.Correct Option: C
The given sequence is :
First term = 1³ = 1
Second term = 2³ = 8
Third term = 3³ = 27
Fourth term = 4³ = 84 is wrong term . So , 64 is correct number .
Fifth term = 5³ = 125
Sixth term = 6³ = 216
Seventh term = 7³ = 343
Clearly, 84 is the wrong number.
- The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern ?
-
View Hint View Answer Discuss in Forum
The given sequence is based on the following pattern :
52 – 1 = 51
51 – 3 = 48
48 – 5 = 43
43 – 7 = 34 is wrong number . So , 36 is correct number .
........... and so on.Correct Option: B
The given sequence is based on the following pattern :
52 – 1 = 51
51 – 3 = 48
48 – 5 = 43
43 – 7 = 34 is wrong number . So , 36 is correct number .
36 – 9 = 27
27 – 11 = 16
Hence, 34 is the wrong number.