Exercise 8.1

an = n (n + 2) 2. an = 1 n n + 3. an = 2n

116 9 x y+ = .

14 9 x y+ = . Choose the correct answer in the following Exercises 3 and 4.

Area lying in the first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2 is (A) π (B) 2 / π (C) 3 / π (D) 4 π

an = 2 3 n − 5. an = (-1) n-1 5 n+1 6. an 2 5 nn += . Find the indicated terms in each of the sequences in Exercises 7 to 10 whose nth terms are: 7. an = 4n - 3; a 17, a24 8. an = 7;2n n a 9. an = (-1) n - 1n3; a 9 10. 20 ( - 2) ;3 / n n na a n= + . Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series: 11. a1 = 3, an = 3an - 1 + 2 for all n > 1 12. a1 = - 1, an = 1na n − , n ≥ 2 13. a1 = a2 = 2, an = a n - 1-1, n > 2 14. The Fibonacci sequence is defined by 1 = a1 = a2 and an = an - 1 + an - 2, n > 2. Find 1n n a a + , for n = 1, 2, 3, 4, 5

Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is (A) 2 (B) 9 / 4 (C) 9 / 3 (D) 9