Question

Find the next term of the following sequence. 25, 10, 4,

Answer 1

The given sequence is 25, 10, 4.

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : r = $\frac{a_{2}}{a_{1}}$

= $\frac{10}{25}$

= 0.4

So, each term is 0.4 times of it's previous term.

Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.

So, fourth / next term = 4* 0.4 =1.6

Hence, next term of this sequence is 1.6.

Hope this helps you!