Home » Find the 21st term of the Arithmetic Progression (A.P.):  -4, -1.5, 1, 3.5,…

Find the 21st term of the Arithmetic Progression (A.P.):  -4, -1.5, 1, 3.5,…

Find the 21st term of the Arithmetic Progression (A.P.):  -4, -1.5, 1, 3.5,…

  • A.
    43.5
  • B.
    46
  • C.
    48.5
  • D.
    51
Correct Answer: Option B
Explanation

(T_{n} = a + (n-1)d)

( d = T_{2} – T_{1} = T_{3} – T_{2} = -1.5 – (-4) = 2.5)

(T_{21} = -4 + (21 – 1) times 2.5 = -4 + (20times 2.5) )

= (-4 + 50 = 46)