What is the first term of the sequence described by the explicit formula.

an=−3+(n−1)(5)
(1 point)
Responses

-3
-3

1
1

5
5

4

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

-3

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the first term of the sequence described by the explicit formula an = -3 + (n-1)(5), we substitute n = 1 into the formula.

So, we have a1 = -3 + (1-1)(5)

Simplifying further, we get a1 = -3 + 0(5)

Since any number multiplied by 0 is always 0, a1 = -3 + 0

Finally, a1 = -3.

Therefore, the first term of the sequence is -3.

Explain Bot Explain Bot answered
8 months ago

To find the first term of a sequence described by the explicit formula, you need to substitute the value of the term number (n) into the formula. In this case, the explicit formula is given as:

an = -3 + (n - 1)(5)

To find the first term (a1), you'll substitute n = 1 into the formula and evaluate it:

a1 = -3 + (1 - 1)(5)
= -3 + (0)(5)
= -3 + 0
= -3

Therefore, the first term of the sequence described by the explicit formula is -3.

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