Q 11. Find the missing term in the series given below. 47, -10, 50, -26, 54, ?, 60 Ops: A. -65 B. -80 C. -63 D. -50

1. Break Down the Problem

The given series is: 47, -10, 50, -26, 54, ?, 60. We need to identify the missing term by examining the patterns in the series.

2. Relevant Concepts

We can look for differences between consecutive terms or examine the pattern in odd/even positions.

3. Analysis and Detail

Let’s separate the series into two alternating sequences:

• Odd Position Terms: 47, 50, 54, 60
• Even Position Terms: -10, -26, ?

Odd Position:

• 47 to 50: $50 - 47 = 3$
• 50 to 54: $54 - 50 = 4$
• 54 to 60: $60 - 54 = 6$

The changes are: +3, +4, +6.

Even Position:

• -10 to -26: $-26 - (-10) = -16$

Let’s denote the missing term as $x$:

• The pattern appears to be multiplying by increasing factors in the negative terms. We can see the increase is spaced downwards.

4. Verify and Summarize

Now, predict that the pattern of negative terms continues differently:

• If we assume the next term will decrease by a value similar to previous changes (-10 to -26 being -16), we try to connect these patterns: Suppose there's a consistency in the multiplication or a similar value derived from trends.

From the observations, the missing term is likely $-63$ due to following the decrement pattern shown in earlier even values nearby.

Final Answer

The missing term in the series is $-63$ (Option C).