Question 23

given the geometric sequence where a1 = 1 and the common ratio is 6, what is the domain for n?

a) all integers where n ≥ 1

b) all integers

c) all integers where n ≥ −1

d) all integers where n ≥ 0

question 24

find the sum of a finite geometric sequence from n = 1 to n = 5, using the expression −3(4)n − 1.

a) -1,023

b) 1,223

c) 1,023

d) −4,374

1)  All integers where n ≥ 1

2) -1,023

Step-by-step explanation:

We are given a G.P. where

First term =

Common ratio = r = 6

nth term of G.P. =

where a is the first term

So, Substitute n = 1

So, Domain for n = All integers where n ≥ 1

Now Find the sum of a finite geometric sequence from n = 1 to n = 5, using the expression

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0