Let’s examine the pattern in the series:
The first term of the series is 77, which consists of two same digits.
The second term is 80, which starts introducing a new digit (0).
The next terms alternate in increasing order, introducing new digits.
After 101, the first number that will have four different digits is 1024.
The correct answer is (c) 1024.
The area bounded by the parabola \(y = x^2 + 2\) and the lines \(y = x\), \(x = 1\) and \(x = 2\) (in square units) is: