Question

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = −8,192.

134,217,728

33,554,432

−33,554,432

−134,217,728

Answer 1

Ok! Remember that the nth term of a GP with the first term "a" and common ratio "r";

\[\large{a_n = ar^{n-1}}\]

Answer 2

You can change this formula into:

\[\large{a_n = a_{1} r^{n-1}}\]

Answer 3

Now, you have been given a6 and a1. So can you calculate r ?

Answer 4

i got -4

Answer 5

@v

Answer 6

@vishweshshrimali5

Answer 7

Actually i was checking it

Answer 8

Good so r = -4

Answer 9

Now, can you calculate 12th term (i.e. a12) ?

Answer 10

33,554,432 ? @vishweshshrimali5

Answer 11

You forgot the negative sign ?

Answer 12

so -33,554,432 ? thatll be the answer? @vishweshshrimali5

Answer 13

yes

Answer 14

awwahh thanks a ton ! @vishweshshrimali5

Answer 15

Np