Question

Find the general term
(a) 3,5,7,9,11,....(b) 5,11,17,23 ,....​

Answer 1

Answer:

a) 2n + 1

b) 6n - 1

Step-by-step explanation:

aₙ = a + (n - 1)d

a) 3, 5, 7, 9,..

   a = 3

   d = a2 - a = 5 - 3 = 2

aₙ = 3 +(n - 1)2

    = 3 + 2n - 2

    = 2n + 1

b) 5, 11, 17, 23,.

  a = 5,  d = 11 - 5 = 6

aₙ = 5 + (n -1)6

   = 5 + 6n - 6

   = 6n - 1