To answer this question, let's try to find the pattern in the given sequence:
13, 44, 88, 176, 847, ?
Looking at the sequence, it appears that each number is obtained by multiplying the previous number by a certain factor and then adding a specific value.
- The first number, 13, can be obtained by multiplying 1 by 10 and adding 3: (1 * 10) + 3 = 13.
- The second number, 44, can be obtained by multiplying 4 by 10 and adding 4: (4 * 10) + 4 = 44.
- The third number, 88, can be obtained by multiplying 8 by 10 and adding 8: (8 * 10) + 8 = 88.
- The fourth number, 176, can be obtained by multiplying 16 by 10 and adding 16: (16 * 10) + 16 = 176.
- The fifth number, 847, can be obtained by multiplying 64 by 10 and adding 7: (64 * 10) + 7 = 847.
Based on this pattern, we can conclude that the next number in the sequence should be obtained by multiplying the previous number by 10 and adding some value.
To find the missing number, we can apply the same pattern to the fifth number, 847.
The missing number is obtained by multiplying 64 by 10 and adding some value: (64 * 10) + x = ?
Simplifying the equation, we get:
640 + x = ?
To find the value of x, we need to subtract 640 from the given answer options:
A) 1595 - 640 = 955
B) 1190 - 640 = 550
C) 2330 - 640 = 1690
D) None of these
Comparing the value of x with the answer options, we can see that the correct answer is A) 1595, as it matches the value of x obtained from the equation.
Therefore, the number that should replace the question mark is 1595.