Answer:
D: She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
Hope this helped! :)
This sequence is:
a(n)=-11(-4)^(n-1)
The sum of the sequence is:
s(n)=-11(1--4^n)/(1--4)
s(n)=-11(1--4^n)/5
so for the first seven terms
s(7)=-11(1--4^7)/5
s(7)=-11(1+16384)/5
s(7)=-11(16385)/5
s(7)=-36047 B.
K=9S/2, total savings is S+9S/2=11S/2. So 9S/2÷11S/2=9/11. (a) The ratio is 9:11.
(b) Kieran’s savings are 9/11 of the total savings.
(c) Simon’s savings are S÷11S/2=2/11 of total savings (or simply subtract 9/11 from 1).
(d) K-S=28, 9/11-2/11=7/11 of the total savings, so 7/11 of the total savings is $28 and total savings is 11/7×28=$44.
CHECK
Kieran has 9/11 of $44 which is $36 and Simon has $8. 36/8=9/2 so the ratio is correct.
Simon has $28 less than Kieran and 36-8=28, which is correct.