Question

Find middle term of Ap -6,-2,2..58

Answer 1

Step-by-step explanation:

a = -6

d= -2-(-6)

d = -2+6 =4

an =58

n=

an = a+(n-1)d

58 = -6 + (n-1) 4

58+6 =(n-1)4

64=(n-1)4

64/4 =(n-1)

16=(n-1)

(n) =16+1

n =17

n/2 =17/2 =8.5 (approx 8th term )

n=8

d =4

a=-6

an =

an = a + (n-1)d

a8 = -6 +(8-1) 4

a8= -6 + (7) 4

a8= -6 +28

a8=22

therefore the middle most term of an is 22