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1) Find the sum of the first five terms of the arithmetic sequence

Question : 1) Find the sum of the first five terms of the arithmetic sequence : 2151525

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Use the partial sum formula to find the partial sum of the given arithmetic sequence.

1) Find the sum of the first five terms of the arithmetic sequence 9, 15, 21, . . .

A) 45

B) 210

C) 75

D) 105

2) Find the sum of the first eight terms of the arithmetic sequence -6, -16, -26, . . .

A) - 328

B) 328

C) -48

D) -128

Solve the problem.

3) Find the sum of the first ten negative integers.

A) - 45

B) - 55

C) - 66

D) - 56

4) Find the sum of the first 50 positive odd integers.

A) 2446

B) 2450

C) 2500

D) 2504

5) Find the sum of the even integers between 37 and 69.

A) 954

B) 848

C) 795

D) 901

6) Find the sum of the first ten terms of the sequence -6, -1, 4, 9, . . . , 39 where 39 is the tenth term.

A) 165

B) 330

C) 170

D) 160

7) Find the sum of the first eleven terms of the sequence -9, -1, 7, 15, . . . , 71 where 71 is the eleventh term.

A) 341

B) 349

C) 342

D) 333

8) Find the sum of the first 30 terms of the arithmetic sequence -7, 2, 11, 20, . . .

A) 263

B) 3705

C) 3715

D) 3840

9) If a1 is 4, a32 is (5/3), and d is - (7/93), find S32.

A) (544/3)

B) (8425/93)

C) (2813/31)

D) (272/3)

10) If a1 is -10 and d is 3, find S55.

A) 3988

B) 3834

C) 3625

D) 3905

11) A new exhibit is scheduled to open at the local museum. Museum officials expect that 9000 people will visit the exhibit in its first week, and that the number of visitors will drop by 40 people per week after the first week during the first 6 months. Write out the first five terms of the sequence, and find the total number of visitors expected in the exhibit's first 7 weeks.

A) 9000, 8960, 8920, 8880, 8840; 62,160 visitors

B) 8960, 8920, 8880, 8840, 8800; 61,920 visitors

C) 8960, 8920, 8880, 8840, 8800; 44,400 visitors

D) 9000, 8960, 8920, 8880, 8840; 53,400 visitors

12) In a game of chance, 12 cards numbered 1 to 12 are placed face down. The player who wins a card receives as many points as the number on the card. Player A wins cards 1 to 6, and player B wins the remainder of the cards. Use an arithmetic series to find each player's score.

A) Player A: 6 points; Player B: 6 points

B) Player A: 21 points; Player B: 78 points

C) Player A: 23 points; Player B: 55 points

D) Player A: 21 points; Player B: 57 points

13) As part of her retirement savings plan, Patricia deposited $400 in a bank account during her first year in the workforce. During each subsequent year, she deposited $35 more than the previous year. Find how much she deposited during her twentieth year in the workforce. Find the total amount deposited in the twenty years.

A) $1065; $29,300

B) $1100; $15,000

C) $1100; $30,000

D) $1065; $14,650

14) A theater has 22 rows with 20 seats in the first row, 23 in the second row, 26 in the third row, and so forth. How many seats are in the theater?

A) 2266 seats

B) 2332 seats

C) 1133 seats

D) 1166 seats

15) A brick staircase has a total of 18 steps. The bottom step requires 113 bricks. Each successive step requires 4 less bricks than the prior one. How many bricks are required to build the staircase?

A) 1422 bricks

B) 1386 bricks

C) 2646 bricks

D) 2844 bricks

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

16) Suppose you just received a job offer with a starting salary of $37,000 per year and a guaranteed raise of $1500 per year. How many years will it be before you've made a total (or aggregate) salary of $1,025,000?

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

17) A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3 additional seats. How many seats are in the civic theater?

A) 1092 seats

B) 1010 seats

C) 790 seats

D) 1070 seats

Solution
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