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Which answer describes the sequence {1,3,7,15,…} as a mathematical statement? The nth value equals 1 more than twice the first value. The nth value equals 1 more than twice the previous value. The nth value equals the sum of the previous 3 values. The nth value equals 1 more than the sum of the previous value and n. Checkpoint 04 Click on the numbers to jump from one question to another.

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Answer:

Step-by-step explanation:

Each new value is 1 plus twice the previous value.

First value is 1.  Then,

 1 plus twice 1 = 3, the second value.

Second value is 3

 1 plus twice 3 = 7, so

Third value is 7

and so on (this is merely a check)

An arithmetic sequence is a sequence in which the difference between any two terms of the sequence is the same or equal. The nth of the series will be aₙ =1 + (n-1)2.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence in which the difference between any two terms of the sequence is the same or equal.

aₙ = a₁ + (n-1)d

where,

aₙ is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

The arithmetic sequence given is 1,3,7,15,…, therefore, the common difference between the series and the value of the first term can be written as,

d = 3-1 = 2

a₁ =1

the nth term of the series can be defined as the,

aₙ = a₁ + (n-1)d

aₙ =1 + (n-1)2

Hence, the nth of the series will be aₙ =1 + (n-1)2.

Learn more about Arithmetic Sequence:

https://brainly.com/question/15412619

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