The general term of a sequence is given a_{n} = (1/2)^{n}. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

arenceabigns

arenceabigns

Answered question

2021-03-08

The general term of a sequence is given an=(12)n. Determine whether the sequence is arithmetic, geometric, or neither.
If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

Answer & Explanation

tafzijdeq

tafzijdeq

Skilled2021-03-09Added 92 answers

Step 1
To Determine: whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.
Given: we have the general term of a sequence
an=(12)n
Explanation: we have
an=(12)n
now we can write down the sequence by putting n=1,2,3....
so we have 12,122,123,124...
this sequence is G.P because this give same common ratio 12 as follows
Step 2
r1=12212=12
r2=123122=12
r3=124123=12
and so on.hence the common ratio will be 12
Answer:
first term a=12and common ratio r=12.

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