Answer:
Step-by-step explanation:
a² - b² = (a+ b)(a - b)
1) (2n-4/2n) ÷ (n^2-4/n)
2) [y^2-36/y^2-49] ÷[ y+6/y-7]
3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m ]
Hint : m² - 7m - 8
sum = -7
Product = -8
Factor = (-8), 1
m² - 7m - 8 =m² - 8m + m - 8
= m*(m - 8) + (m-8)
= (m - 8)(m +1)
Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:
Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:
To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:
In conclusion, the 8th term of the sequence is 896/2187.