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.
11x10=110
110+40=150
150/6=25
25-8=17
17 is the number.
Answer:
looking at anwser now
Step-by-step explanation:
Answer:
$1080
Step-by-step explanation:
convert % to decimal by multiplying 3.2%x100=0.032
then multiply by initial amount 3000x0.032
then multiply by 2 because it's compounding semiannual
then multiply by 3 because it's over a 3 yr period
do the same for the quarterly compound but multiply by 4 because it's quarterly
over a 3 yr period the quarterly compounded amount will earn:
$504 more than the account compounded semiannual
To determine when Mya will have both lessons again on the same day, you will list the multiples of each number of days because to show every 4 or 6 days, you will count by 4's and 6's.
When you get to the first number that is the same, that will be the next time she will have both lessons again. This is called the least common multiple (LCM).
4, 8, 12, 16, 20, ...
6, 12, 18, 24
In 12 days she will have both lessons again.
