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

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1 month 2021-08-19T23:30:41+00:00 2 Answers 0 views 0

Step-by-step explanati

2. 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