Given the geometric sequence where a1 = 3 and the common ratio is -1, what is the domain for n? a. all integers where ≤ 0. b. all integers where n ≥ 0. c. all integers where n ≤ 1. d. all integers where n ≥ 1 . would the answer be a considering that the ration is a negative?

Option: d is the correct answer.

The domain for n is all the integers where n≥1.

Step-by-step explanation:

We know that a geometric sequence also known as geometric progression in which each term is found by multiplying the preceding term by a constant factor.

That common factor is also known as a common ratio and is denoted by 'r'.

Now, the sequence is given as:

Hence, the nth term of the sequence is given by:

where n belongs to natural numbers.

Where a is the first term of the sequence i.e. when n=1

Hence, the domain for n is:

d. All integers where n ≥ 1

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

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step-by-step explanation:

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