An audio cable is 15.9 dm long. how long is the cable in meters?

The audio cable is 1.59 m long.

Solution:

Given, the length of audio cable is 15.9 dm

To find, the length of the cable in meters.

One decimeter is meters, i.e. 1 dm =

So, in order to convert decimeter to meter, we have to multiply the given decimeter value by or  

Length of the audio cable is

Or

the audio cable is 1.59 m long.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

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