91
95
157
160
Answer is Right!
Answer is Wrong!
The correct answer is (b) 95.
The first series is 3, 4, 9, 26, 69. This is a Fibonacci sequence, where each number is the sum of the two preceding numbers. The second series is 5, 6, a, b, c, d. This is also a Fibonacci sequence, but it is shifted one number to the right. To find the value of $d$, we can use the formula $d = a + (n-1)f$, where $a$ is the first number in the series, $n$ is the number of terms in the series, and $f$ is the common difference between the terms. In this case, $a=5$, $n=6$, and $f=6$. Therefore, $d = 5 + (6-1)6 = 95$.
Here is a brief explanation of each option:
- Option (a), 91, is not the correct answer because it is not a Fibonacci number.
- Option (b), 95, is the correct answer because it is a Fibonacci number and it is the sum of the first five terms in the second series.
- Option (c), 157, is not the correct answer because it is not a Fibonacci number.
- Option (d), 160, is not the correct answer because it is not a Fibonacci number.