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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

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

Answers (1)

\\ 9a_{9}=13a_{13} \\\\ 9 \left( a+ \left( 9-1 \right) d \right) =13 \left( a+ \left( 13-1 \right) d \right) \\\\ 9a+72d=13a+156d \\\\ -4a=84d \\\\ a=-21d \\\\ a_{22}=a+ \left( 22-1 \right) d \\\\ =-21d+21d=0 \\\\

Hence, correct option is a.

Posted by

infoexpert21

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