What value will come in place of question mark (?) in the number-series given below?
789 1046 1303 ? 1817

Options

A. 1515
B. 1460
C. 1530
D. 1560

Answer

To solve the number series problem, we need to find the missing value represented by the question mark (?). The series given is:

789, 1046, 1303, ?, 1817

### Step 1: Calculate the differences between consecutive terms
First, we will find the difference between each pair of consecutive numbers in the series.

- Difference between 1046 and 789:
\[ 1046 - 789 = 257 \]

- Difference between 1303 and 1046:
\[ 1303 - 1046 = 257 \]

### Step 2: Establish the pattern
From the calculations above, we can see that the difference between consecutive terms is consistent:
- The difference is 257 for both pairs (789 to 1046 and 1046 to 1303).

### Step 3: Apply the pattern to find the missing term
Since the difference is consistently 257, we can find the next term in the series by adding 257 to the last known term (1303):

\[ 1303 + 257 = 1560 \]

### Step 4: Verify the next term
Now, we need to check if the difference between the newly calculated term (1560) and the next term (1817) also equals 257:

\[ 1817 - 1560 = 257 \]

### Conclusion
Since all differences are consistently 257, we can conclude that the missing value represented by the question mark is:

\[ \text{The value of the question mark is } 1560. \]

### Final Answer
The value that comes in place of the question mark (?) is **1560**.

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