The 8 th term is equal to the 12 th times of 12 th term.find 20 th term
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6
Answer:
Let a be the first term and d be their common difference of the AP.
Then, nth term of the AP T
n
=a+(n−1)d
Given, 8×T
8 =12×T 12
=>8(a+(8−1)d)=12(a+(12−1)d)
=>8(a+7d)=12(a+11d)
=>2(a+7d)=3(a+11d)
=>2a+14d=3a+33d
=>a=−19d
So, T
20
=a+(20−1)d=−19d+19d=0
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