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CBSE Class 10 Answered

If 7times of 7th term is equal to 11times of 11th terl,then what is the 18th term of that A.P?  
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Asked by nayakrajat408 | 23 Nov, 2018, 09:51: PM
answered-by-expert Expert Answer
Let a is the initial value and d be the common difference of A.P
 
7th term, t7 = a + 6d
11th term, t11 = a +10d
 
it is given 7×t7 = 11×t11 
hence  7a+42d = 11a +110d  or 4a = -68d ,  a = -17d.....(1)
 
18th term of A.P  = a+17d = 0 , because of eqn.(1)
 
 
Answered by Thiyagarajan K | 24 Nov, 2018, 09:15: AM
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