Question

Naledi climbed up a mountain. Her initial altitude was 40 meters above sea level, and it increased by 10 meters each hour.Let )g(n)be Naledi's altitude at the beginning of the nth hour of her climb.G is a sequence. What kind of sequence is it? Answer

Answer 1

Answer:

ARITHMETIC SENTENCE

Step-by-step explanation:

Answer 2

Answer:

$U_{n} = (40) + (n - 1)(10)$

Step-by-step explanation:

The constant increase every hour indicates a linear correlation, which can be represented by an arithmetic sequence.

The nth term formula is a formula for any specific term you wish to find.

The formula is:

$U_{n} = a + (n - 1)d$

a = starting value of the sequence

d = the common difference (i.e. the difference between any two consecutive terms of the sequence)

n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)

Un = the actual vaue of the the term

In this case:

a = 40

d = 10

And so, the nth term formula is:

$U_{n} = (40) + (n - 1)(10)$