Question

3. Which term of the arithmetic sequence

Answer 1

Hi ,

24 , 23¼ , 22½ , ...…., 3 is an A.P

First term = a = 24

Common difference = a2 - a1

d = 23¼ - 24

d = -3/4

nth term = an = 3

We know that ,

nth term in A.P( an ) = a + ( n - 1 )d

3 = 24 + ( n - 1 ) (- 3/4 )

3 - 24 = ( n - 1 )(- 3/4 )

-21 = ( n - 1 )( -3/4 )

( -21 ) (- 4/3 ) = n - 1

7 × 4 = n - 1

28 = n - 1

28 - 1 = n

n = 27

Therefore ,

27 th term of given A.P is 3.

I hope this helps you.

: )