Find the 8th term of the geometric sequence 5, -15, 45, ...5,−15,45,...

The 8th term of the geometric sequence 5, -15, 45, ... is:

Step-by-step explanation:

Given the geometric sequence

5, -15, 45, ...

The first element of the geometric sequence is

A geometric sequence has a constant ratio 'r' and is defined by  

computing the ratios of all the adjacent terms

The ratio between all the adjacent terms is the same and equal to

substituting , and in the nth term

Determining the 8th term:

We have already got the nth term

substituting n = 8 to determine the 8th term

Therefore, the 8th term of the geometric sequence 5, -15, 45, ... is:

"Exactly a century ago, on April 24th 1915, Ottoman officials rounded up scores of Armenian intellectuals in Istanbul, most of whom were later murdered. What followed is still bitterly contested. According to the official Turkish version, perhaps 500,000 Armenians died, some while fighting alongside invading Russians against Ottoman forces and others as a regrettable side-effect of deportations that were understandable in the context of the times. But many scholars say that 1m–1.5m Armenians died, and that their deaths were a result of a deliberate campaign to eliminate the Ottoman empire’s only sizeable Christian population. Members of the Armenian diaspora want the events recognised as genocide. What marks genocide out from other mass killings, and why does it matter what word is used?