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AleksAgata [21]
3 years ago
8

Use a recursive function for the geometric sequence 2, -6, 18, -54,... to represent the 9th term.

Mathematics
2 answers:
WARRIOR [948]3 years ago
5 0

Answer:

The Answer is A. f(9) = f(8) • (−3)

Hope This Helps!

Jlenok [28]3 years ago
4 0

Answer:

f(9) = f(8)·(-3)

Step-by-step explanation:

A recursive function is one where each successive term is calculated using the previous term;

The clear pattern demonstrated in the sequence of terms shown is that each term is multiplied by -3 to give the next one;

Hence, the correct option is the first.

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What is the present value of a fund that earns 15% on its balance each year, from which $10,000 must be paid a year for 6 years,
Masteriza [31]

Answer:

The present value of the fund=$25,939.66

Step-by-step explanation:

Step 1

Determine the future value of the fund as shown;

Future value(F.V)=payment amounts per year×number of years

where;

payment amounts per year=$10,000

number of years=6

replacing;

Future value (F.V)=(10,000×6)=60,000

Future value (F.V)=$60,000

Step 2

Determine the present value (P.V) of the fund as shown;

F.V=P.V(1+r)^n

where;

F.V=future value

P.V=present value

r=annual interest rate

n=number of years

In our case;

F.V=$60,000

P.V=unknown

r=15%=15/100=0.15

n=6

replacing;

60,000=P.V(1+0.15)^6

60,000=P.V(1.15)^6

P.V=60,000/{(1.15)^6}

P.V=25,939.66

The present value of the fund=$25,939.66

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