Hello :
the general term is : an = a1×r^(n-1)
a1 : the first term....( a1 = 6)
r : the common ratio......( r = -1/3 )
when : n = 8 a8 is the eighth term : a8 = 6×(-1/3)^7
a8 =- 6×(1/3)^7 because : (-1/3)^7 = - (1/3)^7
a8 = -2 ×(3/3^7)
a8 = -2×(1/3^6)
a8 = (-2)/[ 3^6 ]

7 0

3 years ago

Which sentences contain two words that are related in the same way as the underlined words in the paragraph?

muminat

D is the correct answer

4 0

4 years ago

-3.1x+7-7.4x-1.5x-6(x-3/2

nalin [4]

Answer:

-2(9x-8)

Step-by-step explanation:

We are to simplify the expression -3.1x+7-7.4x-1.5x-6(x-3/2)

Open the parenthesis

-3.1x+7-7.4x-1.5x-6(x-3/2)

= -3.1x+7-7.4x-1.5x-6x+6(3/2)

= -3.1x+7-7.4x-1.5x-6x+9

Collect like terms

= -3.1x-7.4x-1.5x-6x+7+9

= -12x-6x+16

= -18x+16

= -2(9x-8)

Hence the simplified form of the expression is -2(9x-8)

6 0

3 years ago

Cassandra and Yvette each have a calculator. Yvette starts at a 100 and subtracts 7 each time. Isandro starts at zero and adds 3

34kurt

This can be be solved the following way:
Yvette starts at 100 and subtracts 7 k times, as for Cassandra (or Isandro, the question is not clear on this) she starts at 0 and presses adds 3 k times. This leads to the following equation:
$100-7k=3k$
$100=10k
\\
10=k$
So for k=10 they will both display the same number.
We can now either choose the viewpoint of Cassandra or Yvette:
If we chose Yvette then we'll have $100-7*10=30$ and for Cassandra we have, $3*10=30$ .

8 0

3 years ago