Find the 14th term of the A.P whose 11th term is 38 and 16th term is 73 Question Find the 14th term of the A.P whose 11th term is 38 and 16th term is 73 in progress 0 Math Madeline 1 month 2021-08-19T23:30:41+00:00 2021-08-19T23:30:41+00:00 2 Answers 0 views 0

## Answers ( )

Answer: answer is 59

Step-by-step explanati

11th term of AP is 38 and,

16th term of AP is 73.

The 31st term of AP = ?

Let first term of AP be a

Let first term of AP be aand common difference be d

Let first term of AP be aand common difference be dNow,

And,

From eq (i) and eq (ii),

a + 10d = 38 ‿︵‿︵│

⠀ ⠀ ⠀ ⠀⠀⠀ ⠀ ⠀ ⠀⠀⠀ ⠀ |Subtracting

a 15d = 73 ‿︵‿︵│

-⠀ -⠀ ⠀ –

━━━━━━━━━━━━━━

-5d = -35

Now,

Substitute the value of d in equation (i),

Then,

Hence, the 31st term of an AP was