Solveeit Logo

Question

Logical Reasoning Question on Sequence and Series

Which is the seventh number in the sequence 5, 9, 16, 29, 54,

A

300

B

200

C

330

D

103

Answer

200

Explanation

Solution

Given sequence: 5, 9, 16, 29, 54, ___,
To find the next numbers in the sequence, let's look at the pattern:
- Starting with 5, we notice the following:
- 5×21=95 \times 2 - 1 = 9
- 9×22=169 \times 2 - 2 = 16
- 16×23=2916 \times 2 - 3 = 29
- 29×24=5429 \times 2 - 4 = 54
Following this pattern, we continue:
- 54×25=10354 \times 2 - 5 = 103
So, the next number in the sequence is 103.
Continuing with the same pattern for the next number:
- 103×26=200103 \times 2 - 6 = 200
Thus, the sequence continues as: 5, 9, 16, 29, 54, 103, 200.
So the correct answer is:
Option B: 200