Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

The fifth term of the HP 2,
\(2\frac{1}{2}\)
,
\(3\frac{1}{3}\)
will be

(1)

\(\begin{array}{l}5\frac{1}{5}\end{array} \)

(2)

\(\begin{array}{l}3\frac{1}{5}\end{array} \)

(3) 1/10

(4) 10

Solution:

2, 2 ½ , 3 ⅓ are in HP.

Ie, 2, 5/2, 10/3 are in HP.

So ½, ⅖, 3/10 are in AP.

Here a = ½

d = -1/10

5th term of AP = a+4d

= ½ -4/10

= 1/10

So 5th term of HP = 10

Hence option (4) is the answer.

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