Find the 8th term of the geometric sequence -324, -108, -36, -12, . . .

Step-by-step explanation:

-108÷(-324)=0.333333333333 = 1/3

(-36)÷(-108)=0.333333333333

(-12)÷(-36)=0.333333333333

then the common ratio of the sequence is 1/3

then

the 5th term is 12×(1÷3) = 4

the 6th term is 4×(1÷3) = 1.333333333333

the 7th term is 1.333333333333×(1÷3) = 0.444444444444

the 8th term is 0.444444444444×(1÷3) = 0.148148148148

on your paper it doesn't say the answer but the the answer is altitude

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