Given the sequence 2,6, 10, 14,... what term number has the value of 166? in other words whats the number of terms you got until you hit 166... idk if that makes sense or not

9 7 5 3 30 80 99 1000

Step-by-step explanation:

, 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

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.