Answer:
7. 225, 315
Step-by-step explanation:
Answer:
danny makes 250 per month
Step-by-step explanation:
Answer:
1. 15
2. 8
Step-by-step explanation:
The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)
The nth term of a GP is;
Tn = ar^(n-1)
Where;
a = first term
r = common ratio
For the first sequence;
The common ratio r is
r = T3/T2 = 540/90 = 6
r = 6
T2 = ar^(2-1) = ar
T2 = 90 = ar
Substituting the values of r;
90 = a × 6
a = 90/6
a = 15
First term = 15
2. The sam method applies here.
Common ratio r = T3/T2 = 128/32 = 4
r = 4
T2 = ar^(2-1) = ar
T2 = 32 = ar
Substituting the values of r;
32 = a × 4
a = 32/4
a = 8
First term = 8
The phrase would be: "z divided by the difference of 8 and 9"
Answer:
415
Step-by-step explanation:
the nth term of the sequence is -13 + 4n
the sequence is an arithmetic progression with nth term a + (n - 1)d
a = -9, d = a5- a4 = 7 -3 =4
nth = -9 + (n -1) 4
= -9 + 4n -4
= -13 + 4n
hence the 107th term; -13 + 4*107
-13 + 428 = 415