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

#Maths
#Arithmetic Progressions
#NCERT
#CBSE 10 Class
#Mathematics Textbook for Class X

Q : 16 Determine the AP whose third term is $\small 16$ and the $\small 7$ th term exceeds the $\small 5$ th term by $\small 12$ .

Answers (1)

It is given that
3rd term of AP is $\small 16$ and the $\small 7$ th term exceeds the $\small 5$ th term by $\small 12$
i.e.
$a_3=a+2d = 16 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -(i)$
And
$a_7=a_5+12$
$a+6d=a+4d+12$
$2d = 12$
$d = 6$
Put the value of d in equation (i) we will get
$a = 4$
Now, AP with first term = 4 and common difference = 6 is
4,10,16,22,.....

Posted by

Gautam harsolia

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Q : 16 Determine the AP whose third term is and the th term exceeds the th term by .

Answers (1)

Posted by

Gautam harsolia

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Q : 16 Determine the AP whose third term is $\small 16$ and the $\small 7$ th term exceeds the $\small 5$ th term by $\small 12$ .