Ex. 9. Which fraction comes next in the sequence1 3 5 7?(M.A.T. 2005)2

1.	Ex. 9. Which fraction comes next in the sequence1 3 5 7?(M.A.T. 2005)2'4'8'16
Answer» a1 = 1/2a2 = 1/2 + 1/4 = 3/4a3 = 3/4 + 1/8 = 5/8a4 = 5/8 + 1/16 = 7/16a5 = 7/16 + 1/32 = 9/32 Therefore next term in sequence is 9/32 Numerator = n + 2 [ where n = -1,1,3,5 7 ]Denominator = 2 * k [ where k = 1,2,4,8,16 ]So,Next term = 7 / 2 * 1 / 16 + 2 / 2 * 1 / 16 = 9 / 32. 9/32 is the answer.numerator= sequence of odd numbers.denominator= number ×2 9/32is the correct answer......

Ex. 9. Which fraction comes next in the sequence1 3 5 7?(M.A.T. 2005)2'4'8'16

Answer»

a1 = 1/2a2 = 1/2 + 1/4 = 3/4a3 = 3/4 + 1/8 = 5/8a4 = 5/8 + 1/16 = 7/16a5 = 7/16 + 1/32 = 9/32

Therefore next term in sequence is 9/32

Numerator = n + 2 [ where n = -1,1,3,5 7 ]Denominator = 2 * k [ where k = 1,2,4,8,16 ]So,Next term = 7 / 2 * 1 / 16 + 2 / 2 * 1 / 16 = 9 / 32.

9/32 is the answer.numerator= sequence of odd numbers.denominator= number ×2

9/32is the correct answer......