Question 1

[1] Find the formula for the                                                                   general term $u_{n}$

Accepted Answer

$u_{n}$$ = 2 + 7( n - 1 )$

Answer

$u_{n}$$ = 2 + 7( n + 1 )$

Answer

$u_{n}$$ = 7 + 2( n - 1 )$

Answer

$u_{n}$$ = 2 + 7n$

Question 2

[2] Use the equation you found for: 2,9,16,23,30... to find the $65^{th}$ term.

Accepted Answer

$u_{65}=450$

Answer

$u_{65}=446$

Answer

$u_{65}=441$

Answer

$u_{65}=448$

Question 3

[3] Use the equation you found for: 2,9,16,23,30... to determine if 256 is a part of the sequence.

Accepted Answer

$No\rightarrow$n$\approx37.33$

Answer

$Yes\rightarrow$$u_{256}=1787$

Answer

$Yes\rightarrow$$u_{256}=37.3$

Answer

$No\rightarrow$n$\approx$$35.2$

Question 4

[4] Use the sum formula to find the sum of the first 25 terms.

Accepted Answer

$2150$

Answer

$4.47$x$10^{20}$

Answer

$4300$

Answer

$400$

Question 5

[5] Find the formula for the                                                                   general term $u_{n}$

Accepted Answer

$u_{n}$$ = 3(1.5)^{n-1}$

Answer

$u_{n}$$ = 3(1.5)^{n}$

Answer

$u_{n}$$ = 3+(1.5)^{n-1}$

Answer

$u_{n}$$ = 3(1.5)^{n+1}$

Question 6

[6] Use the equation you found for: 3, 4.5, 6.75, 10.125,... to find the $15^{th}$ term.

Accepted Answer

$\approx$$876$

Answer

$\approx$$295$

Answer

$\approx$$1314$

Answer

$\approx$$1313.7$

Question 7

[7] Use the sum formula to find the sum of the first 20 terms.

Accepted Answer

$\approx$$19,946$

Answer

$345$

Answer

$\approx$$15,649$

Answer

$\approx$$13,295$

Question 8

[8] Given the consecutive terms of an arithmetic sequence, find $k$

Accepted Answer

$-\frac{11}{2}$

Answer

$-\frac{15}{2}$

Answer

$-\frac{9}{2}$

Answer

$-\frac{7}{2}$

Question 9

[9] Use these two values to find the general term equation.

Accepted Answer

$u_{n}$$=$$85-3(n-1)$

Answer

$u_{n}$$=$$20-3(n-1)$

Answer

$u_{n}$$=$$37-3(n-1)$

Answer

$u_{n}$$=$$70-3(n-1)$

Question 10

[10] How many kangaroos were there on the island in 2004?

Accepted Answer

$\approx$$4,256$

Answer

$\approx$$4,300$

Answer

$\approx$$4,782$

Answer

$\approx$$4,015$

Question 11

[11] You invest $15,000 at 12% p.a compouded interest. What is the worth after 40 years?

Accepted Answer

$1,395,765

Answer

$1,779,716

Answer

$870,000

Answer

$1,246,218

Question 12

[12] Oden has $25,000 to invest at annual interest of 9% compounded quarterly. What will his investment be worth in 5 years?

Accepted Answer

$39,013

Answer

$27,942

Answer

$140,110

Answer

$38,466

Question 13

[13] Estimate the number of residents who will use cigarettes in September of 2019?

Accepted Answer

$\approx$1,110

Answer

$\approx$1,100

Answer

$\approx$1,505

Answer

$\approx$1,055

Question 14

[14] Find the sum to 30 terms.

Accepted Answer

$1485$

Answer

$1395$

Answer

$1479$

Answer

$1488$

Question 15

[15] Find the sum to 12 terms.

Accepted Answer

$\approx$$47.988$

Answer

$\approx$$95.955$

Answer

$\approx$$23.994$

Answer

$\approx$$23.988$

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