Optional Sequence/Series Review

Which term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

• 11

• 12

• 13

• 14

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

• a_n=7-9(n-1)

• a_n=-9+7(n-1)

• a_n=-83+9(n-1)

• a_n=9-83(n-1)

A geometric sum has g₂=18 and g₅=486. Find the sum of the first 9 terms.

• 1,536

• 59,046

• 177,156

• None of these

Which of the following expresses 1+3+5+...+39

• $\sum_{k=1}^{20}2k-1$

• $\sum_{k=2}^{40}k-1$

• $\sum_{k=-1}^{37}k+2$

• $\sum_{k=1}^{39}2k-1$

Find the sum of the first 10 terms for the series: -1 + 2 + 5 + 8 + ...

• 122

• 125

• 128

• 131

An arithmetic sequence has a₁₅=160 and a common difference of -15. Find a₄₀.

• 535

• 370

• -170

• -215

A geometric series is as follows: 40 + 36 + 32.4 + ...

Find the sum of this series.

• 300

• 400

• 500

• 600

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

• $827.52                     (Mr. Williams)       
• $831.10                 (Mrs. Hoch)
• $839.45                    (Mr. Krajunus)
• $846.80                   (Ms. Palombo)

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

• $6,273.50  frustrated
• $6,314.08 bewildered
• $6,385.72         pleased
• $6,427.94           tickled pink

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x