# Find:(i) 10th term of the A.P. (ii) 18th term of the A.P. (iii) nth term of the A.P. (iv) 10th term of the A.P. (v) 8th term of the A.P. (vi) 11th term of the A.P. (vii) 9th term of the A.P.

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

a = 1, d = 4 – 1 = 3

A10= a + (10 – 1) d

= 1 + (9)3 = 28

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

a = 13, d = -5

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

= 13 -5n + 5 = 18 – 5n

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

a = -40, d = 25

A10= a + (10-1) d = -40 + 9 (25)

= -40 + 225 = 185

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

a = 117, d = -13

A8= a + (8 – 1) d = 117 + 7 (-13)

= 117 – 91 = 26

(vi) 11th 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) 9th term of the A.P.

a = , d = - =

A9= a + (9 – 1) d = + 8 () =

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