Question are based on number/figure series. In each series missing term is mentioned by question mark (?). Find out the missing term in given alternatives and write its alternative number against the correct question number on your answer sheet-
3, 4, 8, 17, 33, 58, ?

Options

A. 76
B. 94
C. 84
D. 98

Answer

To find the missing term in the series 3, 4, 8, 17, 33, 58, ?, we can analyze the pattern in the series step by step.

**Step 1: Identify the differences between consecutive terms.**

Let's calculate the differences between each pair of consecutive terms:

- 4 - 3 = 1
- 8 - 4 = 4
- 17 - 8 = 9
- 33 - 17 = 16
- 58 - 33 = 25

So, the differences are: 1, 4, 9, 16, 25.

**Step 2: Identify the pattern in the differences.**

Now, let's observe the differences we calculated:

1 = 1^2
4 = 2^2
9 = 3^2
16 = 4^2
25 = 5^2

The differences are perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2.

**Step 3: Find the next difference.**

Following the pattern, the next difference should be the square of the next integer:

6^2 = 36.

**Step 4: Add the next difference to the last term of the series.**

Now, we add this difference to the last known term in the series:

58 + 36 = 94.

**Step 5: Conclusion.**

Thus, the missing term in the series is 94.

**Final Answer: 94.**

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