(Q9).For the following A.Ps, write the first term and the common difference:

S.No. a d n an
(i) 7 3 8 ...
(ii) -18 ... 10 0
(iii) ... -3 18 -5
(iv) -18.9 2.5 ... 3.6
(v) 3.5 0 105 ...

S.No. a d n an Hint / Solution (an = a + (n - 1)d)
(i) 7 3 8

an = a+(n-1)d

a8 = 7+(-1)×3=7+×3=7+=

(ii) -18 10 0

an = a+(n-1)d

0 = -18 + (-1)d

0 = -18 + d

d = 18 ⇒ d =
18
=
(iii) -3 18 -5

an = a+(n-1)d

-5 = a+(-1)(-3)⇒-5=a+()(-3)

⇒a = -5+ =

(iv) -18.9 2.5 3.6

an = a+(n-1)d

3.6 = -18.9 + (n-1)()

⇒ 3.6 = -18.9 + n -

n = 3.6 +

n = ⇒ n =
=
(v) 3.5 0 105 an = a+(n-1)d = 3.5+(-1)×(0) =