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  • Determine the A.P. whose third term is 16 and 7th term exceeds the 5th term by 12.  

Determine the A.P. whose third term is 16 and 7th term exceeds the 5th term by 12.

 

Answers (1)

Given in an AP
a_{3}= 16
a_{7}-a_{5}= 12
we know a_{n}= a+\left ( n-1 \right )d
\Rightarrow a_{7}-a_{5}= \left [ a+\left ( 7-1 \right )d \right ]-\left [ a+\left ( 5-1 \right )d \right ]= 12
\Rightarrow 6d-4d= 12
\Rightarrow 2d= 12
d= 6
a_{3}= 16= a+\left ( 3-1 \right )d
16= a+2\times 6
\Rightarrow a= 4
A.P will be, 4,10,16,22, -----

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Safeer PP

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