The first five terms in a pattern are shown below.

-0.5, -0.25, 0, 0.25, 0.5, …

If the pattern continues, which expression can be used to find the nth term?

0.75n − 1.25
−0.25n − 0.25
0.25n − 0.75
−0.5n + 0.25

Answer:

I think this answer is A.

Step-by-step explanation:

I think this because when you subtract 0.5-0.25 you get 0.25. So you would add it to whatever comes next until you get to the 9th term. Then you would be somewhere around the ones place. :)

In the given pattern, the expression that can be used to find the nth term of the sequence is T(n)=0.25n-0.75. The correct option is C.

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

Tₙ = a₁ + (n-1)r

where,

Tₙ is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

Since the given sequence is in an arithmetic progression, therefore, the common difference between any two consecutive terms in the sequence are,

Difference, d = -0.25 - (-0.5)

                      = -0.25 + 0.5

                      = 0.25

Also, the first term of the sequence is -0.5. Therefore, using the formula of nth for an arithmetic sequence, we can write,

nth term = a₁ + (n - 1)d

              = -0.5 + (n - 1)0.25

              = -0.5 + 0.25n - 0.25

              = 0.25n - 0.5 - 0.25

              = 0.25n - 0.75

Hence, in the given pattern, the expression that can be used to find the nth term of the sequence is T(n)=0.25n-0.75.

Learn more about Arithmetic Sequence here:

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