Question

Write the first four terms of a geometric sequence. Using the values you have written, calculate the common ratio and write the rule for the nth term. Show all calculations.

Answer 1

@supie

Answer 2

@darkknight

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @JammarWalker
@darkknight
\(\color{#0cbb34}{\text{End of Quote}}\)
lol

Answer 4

alr well i can take this,
lets make up a random geometric sequence
\[An = a * r ^{n-1}\]
followed by this formula

Answer 5

working backwards might be easier, lets assign r = 3
and a = 5
Now find the first 4 terms of the sequence, plug in n = 1 then 2 then 3 then 4

Answer 6

basically cheating the system, it askes u to calculate the common ratio and stuff and the eqn but we defined that ahead of time, so you can easily solve parts 2 and 3

Answer 7

just find the first 4 terms of the sequence, plug in n = 1 then 2 then 3 then 4

Answer 8

48828125

Answer 9

?

Answer 10

u should have 4 values, one for the 1st term, 1 for the second... 1 for the fourth

Answer 11

3,5,8

Answer 12

not quite...
\[An = 5 * 3^{(n-1)}\]
plug in 1, 2 3 and 4 for n

Answer 13

3a

Answer 14

plug in 1 for a first, what do you get for the variable (An)???

Answer 15

a

Answer 16

sorry for n, what am i saying lmao

Answer 17

plug in 1 for n,

Answer 18

good job @darkknight - congrats !

Answer 19

so put a1

Answer 20

\[Y = 5*3^{(n-1)}\]
please plug in 1 for n and see what Y equals

Answer 21

5

Answer 22

now plug in 2

Answer 23

15

Answer 24

keep going, plug in 3 and 4

Answer 25

45,135

Answer 26

yep now ur done

Answer 27

amd thank you @jhonyy9

Answer 28

so i put all of that in for the problem

Answer 29

mhm