Consider the first four terms of the sequence below.

-3, -12, -48, -192, . . .

What is the 8th term of this sequence?

A.
-49,152

B.
-12,288

C.
-196,608

D.
-768

A = -49,152

Step-by-step explanation:

The sequence -3, -12, -48, -192 have a geometric Progression.

How did I know that?

The common ratio is gotten by diving the preceding value by a previous one. Such that:

r : -12 / -3 = 4

r : -48 / -12 = 4

Which ever one you pick, gives thesame commonn ration "r" as 4.

Lets proceed.

Geometric Progression (GP) is defined as:

GP: ar^n-1

Where "a" is the first term -3

r is the common ration = 4

n is the number of term = 8th

To solve for the 8th term!

= ar^ 8-1

= ar^7

= -3 * 4 ^ 7

= -3 * 16384

= -49152

Enjoy! Maths is fun!

A

Step-by-step explanation:

r = -12/-3 = 4

(-3)4^(8-1)

(-3)(4⁷)

-49152

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.