The 2nd term of an HP is 40/9 and the 5th term is 20/3 find the maximum possible number - Maths - Principle of Mathematical Induction

Question

The 2nd term of an HP is 40/9 and the 5th term is 20/3 find the
maximum possible number of terms in H P what do we mean by this
sentence in this question?

Ayush Kumar · Accepted Answer

Dear student,

If a, a + d, a + 2d, a + 3d, …… are in A P
Then 1/a, 1/a+d, 1/a+2d , 1/a+3d are in HP
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5d483bfda4625%20jpg">
Regards !

The 2nd term of an HP is 40/9 and the 5th term is 20/3. find the maximum possible number of terms in H.P. what do we mean by this sentence in this question?