Question

What is the 7th term of the geometric sequence where a1 = -3 and a5 = -768?

Answer 1

is it -3,072?

Answer 2

if it is a geometruc sequence then since a1=-3
we have \(-768=a_5=a_1\cdot r^4\)

Answer 3

u don't knw the ratio of the sequence but can find it using this equation

Answer 4

nth term = a1 * r^(n-1)

r ^4 = a5 / a1 = -768 /- 3 = 256

so r = 4th root of 256

Answer 5

After solving you get r = 4..

Answer 6

yea

Answer 7

So:
\[\large a_7 = (-3)(4)^{6} = ??\]