For the function y = ln(x+1)+5, which of the following statements is
true?
O A. The domain is (1,00), and the range is all real numbers.
O B. The domain is (1,0), and the range is [5,).
O C. The domain is (-1,0), and the range is all real numbers.
O D. The domain is all real numbers, and the range is [5,).

C. The domain is (-1,+∞), and the range is all real numbers.

Step-by-step explanation:

The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1

and the range is all real numbers.

check the attached picture for the graph.

-6 is the correct option from the above given options

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for