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- determine k so that 2/3, k and 5/8k are the three consecutive terms of an AP.
- which term of the progression 19, 91/5, 87/5 .... is the first negative term.
- check if 50 is a term of an AP 4, 7, 10, 13,.... or not? if yes find which term it is?

Dear Student!

**1.**

The given sequence of numbers .

Here,

Let *n*^{th} term be the first negative term of the A.P.

Thus, 25^{th} term is the first negative term of the given A.P.

**2.**

4, 7, 10, 13, ............is an A.P.

Let 50 be the *n*^{th} term of the given A.P.

Here, *a* = 4 and *d* = 3

*a _{n}* = 50

Thus, 50 is **not** a term of the given A.P.

Cheers!

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