Since the sequence is geometric, there is some constant

such that the sequence is recursively given by

By this definition, you can recursively substitute into the right hand side the definition for

to find an explicit formula for the

th term.

You know the second term, which means you can find

:

So, the 7th term of the sequence is
Answer:

Step-by-step explanation:
1) Add the whole numbers first.

2) Join the denominators.

3) Simplify.

hence, the answer is 3 4/5.
\left[x \right] = \left[ \frac{-1}{4}\right][x]=[4−1] = x*3 +3x*2+6) - (9x*2-5x+7
Answer:
81
Step-by-step explanation:
u multiply 9 x 9 not 9x2
Answer:
9*(6+7)
Step-by-step explanation:
First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.
Factors of 54
1,2,3,6,9,18,27,54
Factors of 63
1,3,7,9,21,63
The GCF is 9 because is the greatest factor that is common to both numbers.
Now we have to divide 54/9 and 63/9
54/9 = 6
63/9 = 7
So now we can write the product of the GCF and another sum:
9*(6+7)
<em>We can prove this by solving both expressions:</em>
<em>54+63 = 9*(6+7)</em>
<em>117 = 9*13</em>
<em>117 = 117 </em>
<em>The results are equal so we prove it is right.</em>