Question

if nth terms of the two AP 9,7,5,.....and 24,21,18.....are the same find the value of 'N'th and term

Answer 1

a+(n-1)d=a+(n-1)d
9+(n-1)-2=24+(n-1)-3
9-2n+2=24-3n+3
11-2n=27-3n
11-27=-3n+2n
-16=-n
16=n

Answer 2

The sixteenth term of both APs will be same.

The sixteenth term of both APs will be same. And that term is -21.

What's a ?

=> a is the first term of the AP .

What's d ?

=> d is the common difference between the terms.

AP stands for Arithmetic Progressions.

How to write an Arithmetic Progression with the help of first term 'a' and common difference 'd'?

=> Arithmetic Progression -

a , a+d , a+2d , a+3d , a+4d ...

What is an Arithmetic Progression?

A sequence whose terms increase or decrease by fix number is called arithmetic progression.

And this fix number is - 'd' aka common difference between the terms.