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
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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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