-->

Arithmetic Progressions

Question
CBSEENMA10007955

Find the middle term of the A .P. 10,7,4, ...... (– 62).

Solution

We have, an = –62,
a = 10 and d = –3 Now an = a + (n – 1)d
⇒ –62 = 10 + (n – 1) (– 3)
⇒ – 62 = 10 – 3n +3
⇒ – 62 = 13 – 3n
⇒ –3n = –75
⇒ n = 25
Now middle term = a13 = a + 12d
= 10 + 12(– 3)
= 10 – 36 = – 26