Question

The first term of an arithmetic sequence is -1/2 and t22 = 10. Find tn

Answer 1

Answer:

n/2 -1

Step-by-step explanation:

a = -1/2

Tₙ=a + (n-1)d

T₂₂ = -1/2 + (22-1)d = 10

21d = 10 + 1/2 = 21/2

d = 1/2

Tₙ = -1/2 + (n-1)1/2

 = -1/2 + n/2 -1/2

  = n/2 - 1