If 9 times the 9th term of an A.P is equal to 13 times the 13th term, then the 22nd term of the A.P is
A) 0 B) 22 C) 220 D) 198
please answer fast
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If 9 times the 9th term of an A.P is equal to 13 times the 13th term, then the 22nd term of the A.P is
A) 0 B) 22 C) 220 D) 198
please answer fast
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Answer:
0
Step-by-step explanation:
Let the first term and common difference of given AP be a and d, respectively.
Given
9.a9=13.a13
⇒9[a+(9−1)d]=13[a+(13−1)d]
⇒9[a+8d]=13[a+12d]
⇒9a+72d=13a+156d
⇒4a+84d=0
⇒4[a+21d]=0
⇒4[a+(22−1)d=0
⇒a+(22−1)d=0
⇒a22=0
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