Math, asked by penne, 2 months ago

IF 3rd and 7th term of an A.P
is
18 and 30 then find the sum
of first 17 terms of and A.P.
b) 612
c) 624
d) 636​

Answers

Answered by AparnaSingh11989198
1

Step-by-step explanation:

Answer is (b) 612

Given T3 = a + 2d

⇒ a + 2 d = 18 …(i)

and T7 = a + 6d

a + 6d = 30 …(ii)

From equation (i) and (ii),

4d = 12 ⇒ d = 3

Putting d = 3 in equation (i),

a + 2 × 3 = 18

⇒ a + 6 = 18

⇒ a = 12

17/2 ( 2 × 12 + ( 17 - 1 ) × 3 )

==> 17/2 × 72

=> 612

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