Find the wrong number in the following number series
3 7 16 35 70 153

Options

A. 70
B. 16
C. 153
D. 35

Answer

To find the wrong number in the series 3, 7, 16, 35, 70, 153, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We will look for a pattern in the series. The pattern involves multiplying the previous number by 2 and then adding an incrementing integer.

### Step 2: Calculate the second term
The first term is 3.
To find the second term (7):
\[ 7 = 3 \times 2 + 1 \]

### Step 3: Calculate the third term
Now, let's find the third term (16) using the second term (7):
\[ 16 = 7 \times 2 + 2 \]

### Step 4: Calculate the fourth term
Next, we calculate the fourth term (35) using the third term (16):
\[ 35 = 16 \times 2 + 3 \]

### Step 5: Calculate the fifth term
Now, we will find the fifth term (70) using the fourth term (35):
\[ 70 = 35 \times 2 + 4 \]
However, we need to check if this calculation is correct. Let's calculate it:
\[ 35 \times 2 = 70 \]
Adding 4 gives us:
\[ 70 + 4 = 74 \]
Thus, the fifth term should actually be 74, not 70.

### Step 6: Calculate the sixth term
Finally, let's find the sixth term (153) using the corrected fifth term (74):
\[ 153 = 74 \times 2 + 5 \]
Calculating this:
\[ 74 \times 2 = 148 \]
Adding 5 gives us:
\[ 148 + 5 = 153 \]

### Conclusion
The series should be: 3, 7, 16, 35, 74, 153. Therefore, the wrong number in the series is **70**.

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