Question

nth terms

Answer 1

@aajugdar

Answer 2

wut is the question mam ? :)

Answer 3

@lovelyharmonics what???

Answer 4

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -24 and 1536, respectively.

Answer 5

okay the 2nd term is -24
and 5th term is 1536
you have to find the ratio

Answer 6

hmm

Answer 7

no need of of options....see apply
nth term = a*(r)^(n - 1)...here u r having n = 2 & 5...make the equations and divide them u will get the common ratio

Answer 8

well you would be multiplying by a negative.... so that makes it either
6 • (-4)^n + 1
or
6 • (-4)^n - 1

Answer 9

for n = 2 the term is -24
and for n = 5 the term is 1536

Answer 10

correct

Answer 11

Substitute 21 for a2 and 567 for a5 in the formula

an+=+a1%2A+r%5E%28n-1%29

a2=+a1%2A+r%5E%282-1%29...-> ..a1%2Ar=21

a5=+a1%2A+r%5E%285-1%29...->..+a1%2Ar%5E4=567

Substitute this expression for a1 in the second equation and solve for r.

a1+=21%2Fr

a1%2Ar%5E4=567

%2821%2Fr%29%2Ar%5E4=567

21%2Ar%5E3=567

r%5E3=567%2F21

r%5E3=27

r=3

Substitute for r in the first equation and solve for a1.

a1%2A+r=21

a1%2A3=21

a1+=21%2F3

a1+=7

Now use the formula to find the nth term an.

highlight%28an=+7%2A3%5E%28n-1%29%29

Answer 12

copy paste <3

Answer 13

lol

Answer 14

u will get two equations
-24 = a*(r)^1
1536 = a*(r)^3....solve these for r

Answer 15

r^4 *
5th term

Answer 16

o a bit mistake

Answer 17

its supposed to be 1536 = a*(r)^4

Answer 18

solve it now 1536/-24 = r^3
r^3 = 64
so r = -4

Answer 19

okay .-. how did you just get ^3 out of ^4..... and where did -24 come from?

Answer 20

isnt 2nd term -24

Answer 21

divide the two equations

Answer 22

r^4/r = r^3

Answer 23

now you hv to find the first term

Answer 24

-24 = a* (-4)
so a = 5

Answer 25

oh my god.... math /).(\

Answer 26

now as for nth term
Xn = 5(-4)^n-1
thats the equation

Answer 27

no its not .-.

Answer 28

@aajugdar bro it supposed to be a = 6

Answer 29

oh its 6 ^^

Answer 30

yeah my bad

Answer 31

so answer is D

Answer 32

yeah c: one of the two original ones i said earlier c: