Question

The 4th term of the series 0.04,0.2,1......is

Answer 1

Answer is 0.6.

There is a pattern occurring between each term - refer the attachment.

Hope it helps u

Answer 2

Answer:

The 4th term of 0.04,0.2,1...... = 5

Step-by-step explanation:

Given,

The series 0.04,0.2.1,..........................

To find

The 4th term of the series

Recall the concept

If a sequence a₁, a₂, a₃ ............ are in GP if

$\frac{a_2}{a_1} = \frac{a_3}{a_2}$

The $n^{th}$ term of a GP = $ar^{n-1}$, where 'a' is the first term and 'r' is the common ratio of the GP

Solution

Given sequence is  0.04,0.2.1,..........................

Here,

$\frac{0.2}{0.04}$ = 5 and  $\frac{1}{0.2}$ = 5

Since $\frac{0.2}{0.04}$ =  $\frac{1}{0.2}$ , we can say that the sequence 0.04,0.2.1,...................form a GP

First term of the GP = 0,04, and common ratio = 5

Fourth term = ar³ = 0.04 ×(5)³

= 0.04 × 125

= 5

∴ The 4th term of 0.04,0.2,1...... = 5

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