7*9
b. 63
v=5 i=1
5+1+1= 7
x=10
10-1= 9
9*7= 63
9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...

for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
__
5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
__
6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
1. No.
2. No.
3. Yes.
4. No.
Answer : b. $65.10
1 appetizer: $7.39=7.39
2 entrees: $16.99 each= 2 * 16.99=33.98
1 dessert: $5.29= 5.29
2 drinks: $2.30 each=4.6
cost = 7.39 + 33.98 + 5.29 + 4.6 =$51.26
7% tax = 51.26 * 0.07 = 3.5882
20% gratuity = 51.26 * 0.2= 10.252
Total cost = 51.26 + 3.5882 + 10.252 =65.1002
the total amount = $65.1