Consider the following sequence :
5, 7, 10, 15, 22, 33, 46, ____, ____
Which one of the alternatives will come at the end of the above sequence ?
61, 79
63, 82
65, 85
59, 71
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC CISF-AC-EXE – 2018
7 – 5 = 2
10 – 7 = 3
15 – 10 = 5
22 – 15 = 7
33 – 22 = 11
46 – 33 = 13
The differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order.
The next prime number after 13 is 17.
The term after 46 is 46 + 17 = 63.
The next prime number after 17 is 19.
The term after 63 is 63 + 19 = 82.
Term 1: 5
Term 2: 5 + 2 = 7
Term 3: 7 + 3 = 10
Term 4: 10 + 5 = 15
Term 5: 15 + 7 = 22
Term 6: 22 + 11 = 33
Term 7: 33 + 13 = 46
Term 8: 46 + 17 = 63
Term 9: 63 + 19 = 82
The sequence continues: 5, 7, 10, 15, 22, 33, 46, 63, 82.