Problem 1AYP: In a(n) _________ sequence, the difference between successive terms is a constant. Problem 2AYP: True or False For an arithmetic sequence { a n } whose first term is a 1 and whose common difference... Problem 3AYP: If the 5th term of an arithmetic sequence is 12 and the common difference is 5, then the 6th term of... Problem 4AYP: True or False The sum S n of the first n terms of an arithmetic sequence { a n } whose first term is... Problem 5AYP: An arithmetic sequence can always be expressed as a(n) _______ sequence. (a) Fibonacci (b)... Problem 6AYP: If a n =2n+7 is the n th term of an arithmetic sequence, the first term is _________. (a) 2 (b) 0... Problem 7SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 8SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 9SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 10SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 11SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 12SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 13SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 14SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 15SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 16SB: In Problems 7-16, show that each sequence is arithmetic. Find the common difference and write out... Problem 17SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 18SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 19SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 20SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 21SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 22SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 23SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 24SB: In Problems 17-24, find the nth term of the arithmetic sequence { a n } whose initial term a 1 and... Problem 25SB: In Problems 25-30, find the indicated term in each arithmetic sequence. 100thtermof2,4,6,... Problem 26SB: In Problems 25-30, find the indicated term in each arithmetic sequence. 80thtermof1,1,3,... Problem 27SB: In Problems 25-30, find the indicated term in each arithmetic sequence. 90thtermof1,2,5,... Problem 28SB: In Problems 25-30, find the indicated term in each arithmetic sequence. 80thtermof5,0,5,... Problem 29SB: In Problems 25-30, find the indicated term in each arithmetic sequence. 80thtermof2, 5 2 ,3, 7 2... Problem 30SB: In Problems 25-30, find the indicated term in each arithmetic sequence. 70thtermof2 5 ,4 5 ,6 5 ,... Problem 31SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 32SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 33SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 34SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 35SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 36SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 37SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 38SB: In Problems 31-38, find the first term and the common difference of the arithmetic sequence... Problem 39SB: In Problems 39-56, find each sum. 1+3+5++( 2n1 ) Problem 40SB: In Problems 39-56, find each sum. 2+4+6++2n Problem 41SB: In Problems 39-56, find each sum. 7+12+17++( 2+5n ) Problem 42SB: In Problems 39-56, find each sum. 1+3+7++( 4n5 ) Problem 43SB: In Problems 39-56, find each sum. 2+4+6++70 Problem 44SB: In Problems 39-56, find each sum. 1+3+5++59 Problem 45SB: In Problems 39-56, find each sum. 5+9+13++49 Problem 46SB: In Problems 39-56, find each sum. 2+5+8++41 Problem 47SB: In Problems 39-56, find each sum. 73+78+83+88++558 Problem 48SB: In Problems 39-56, find each sum. 7+1511299 Problem 49SB: In Problems 39-56, find each sum. 4+4.5+5+5.5++100 Problem 50SB: In Problems 39-56, find each sum. 8+8 1 4 +8 1 2 +8 3 4 +9++50 Problem 51SB: In Problems 39-56, find each sum. n=1 80 ( 2n5 ) Problem 52SB: In Problems 39-56, find each sum. n=1 90 ( 32n ) Problem 53SB: In Problems 39-56, find each sum. n=1 100 ( 6 1 2 n ) Problem 54SB: In Problems 39-56, find each sum. n=1 80 ( 1 3 n+ 1 2 ) Problem 55SB: In Problems 39-56, find each sum. The sum of the first 120 terms of the sequence 14,16,18,20,... Problem 56SB: In Problems 39-56, find each sum. The sum of the first 46 terms of the sequence 2,1,4,7,... Problem 57AE: Find x so that x+3,2x+1,and5x+2 are consecutive terms of an arithmetic sequence. Problem 58AE: Find x so that 2x,3x+2,and5x+3 are consecutive terms of an arithmetic sequence. Problem 59AE: How many terms must be added in an arithmetic sequence whose first term is 11 and whose common... Problem 60AE: How many terms must be added in an arithmetic sequence whose first term is 78 and whose common... Problem 61AE: Drury Lane Theater The Drury Lane Theater has 25 seats in the first row and 30 rows in all. Each... Problem 62AE: Football Stadium The corner section of a football stadium has 15 seats in the first row and 40 rows... Problem 63AE: Creating a Mosaic A mosaic is designed in the shape of an equilateral triangle, 20 feet on each... Problem 64AE: Constructing a Brick Staircase A brick staircase has a total of 30 steps. The bottom step requires... Problem 65AE: Cooling Air As a parcel of air rises (for example, as it is pushed over a mountain), it cools at the... Problem 66AE Problem 67AE: Seats in an Amphitheater An outdoor amphitheater has 35 seats in the first row, 37 in the second... Problem 68AE: Stadium Construction How many rows are in the corner section of a stadium containing 2040 seats if... Problem 69AE: Salary If you take a job with a starting salary of 35,000 per year and a guaranteed raise of 1400... Problem 70DW: Make up an arithmetic sequence. Give it to a friend and ask for its 20th term. Problem 71DW: Describe the similarities and differences between arithmetic sequences and linear functions. Problem 72RYK: Problems 72-75 are based on material learned earlier in the course. The purpose of these problems is... Problem 73RYK Problem 74RYK Problem 75RYK: Problems 72-75 are based on material learned earlier in the course. The purpose of these problems is... format_list_bulleted