What would the formula for the nth term be given 0.3, -0.06, 0.012, -0.0024, 0.00048, ...?

Kasey Reese

Kasey Reese

Answered question

2022-10-18

What would the formula for the nth term be given 0.3, -0.06, 0.012, -0.0024, 0.00048, ...?

Answer & Explanation

Kyle Delacruz

Kyle Delacruz

Beginner2022-10-19Added 21 answers

Given series: 0.3 , - 0.06 , 0.012 , - 0.0024 , 0.00048 ...
has first term a=0.3 & a common ratio r is given as follows
r = - 0.06 0.3 = 0.012 - 0.06 = ... = - 1 5
Now, the nth term of above Geometric progression (GP) will be as follows
a n = a r n - 1
a n = 0.3 ( - 1 5 ) n - 1
a n = 0.3 ( - 5 ) n - 1
Hugo Stokes

Hugo Stokes

Beginner2022-10-20Added 7 answers

Here, the given sequence is :
0.3 , - 0.06 , 0.012 , - 0.0024 , 0.00048 , ...
The first term = a 1 = 0.3
The common ratio :
r = - 0.06 0.3 = 0.012 - 0.06 = - 0.0024 0.012 = 0.00048 - 0.0024 = - 0.2
This is the geometric sequence :
n t h t e r m of the sequence is :
a n = a 1 ( r ) n - 1
a n = ( 0.3 ) ( - 0.2 ) n - 1

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