Find:

(i) 10^th term of the A.P.

(ii) 18^th term of the A.P.

(iii) n^th term of the A.P.

(iv) 10^th term of the A.P.

(v) 8^th term of the A.P.

(vi) 11^th term of the A.P.

(vii) 9^th term of the A.P.

(i) 10^th term of the A.P.

a = 1, d = 4 – 1 = 3

A₁₀= a + (10 – 1) d

= 1 + (9)3 = 28

(ii) 18^th term of the A.P.

a = √2, d = 3√2 - √2 = 2√2

A₁₈= a + (18 – 1) d

= √2 + (17) 2√2 = 35√2

(iii) n^th term of the A.P.

a = 13, d = -5

A_n= a + (n-1)d = 13 + (n-1) (-5)

= 13 -5n + 5 = 18 – 5n

(iv) 10^th term of the A.P.

a = -40, d = 25

A₁₀= a + (10-1) d = -40 + 9 (25)

= -40 + 225 = 185

(v) 8^th term of the A.P.

a = 117, d = -13

A₈= a + (8 – 1) d = 117 + 7 (-13)

= 117 – 91 = 26

(vi) 11^th term of the A.P.

a = 10.0, d = 10.5 – 10.0 = 0.5

A₁₁= a + (11 – 1) d = 10.0 + 10 (0.5)

= 10.0 + 5 = 15.0

(vii) 9^th term of the A.P.

a = , d = - =

A₉= a + (9 – 1) d = + 8 () =