Decide if each sequence is arithmetic. Explain why or why not. 1. 14, 11, 8, 5, 2, ... 2. 1, 3, 9, 27, 81, .. no, it's mult. - 3 Use the given rule to find each term in the sequence. s to wor sen onT Er 3. an = 4n - 2; find a10 and a40 4. an = -n +4; find do and a12 5 es senT an = 4 ( 10 ) - 2 ah - 4 (40) - 20 milesage to nedmun art to1 glu1 6 ethW an = 0+ y an =38 an = 138 an = 4 dn = - s Find a rule for the nth term of the following sequences. n =- 12+ 4 5. 1, 3, 5, 7, 9, ... 6. 65, 51, 37, 23, 9, ... NOT amse and ni die of new 28an =$5-14 (n-1 ) Iran - 2 an = 2 0 - 1 an = 65- 149 Hy an - 2 1 - an =lyn+ 79 Write a rule for the nth term of the following sequences. 7. d = 2, a1 = 5 8. ag = 12, a15 = 61 10 2910 Answers: 1. Yes; *2 = a + 4 9 ( 9 - 1 ) 2 . No an = 5 + 2 (n- 1 ) 3. 38; 158 4. 4; -8 1/a common sAT xS ei met ritit sAT (8 -) 2) bopsupsa spamdins gs 5 . an = 2n-12 Exdo quley ent b 6 . an = -14n +79 7 . an - 2 + 5 an = 2n + 3 8. an = 7n -44 9. an = 4n - 10; 90 10. an = 6n - 13; 13 2 r + 3 11. 49 12. Write a rule for the nth term and then find the value of the 25th term. 91 9visuo 13. an = n + 24 9. d = 4, a14 = 46 1976 Briwo 10. as = 17, a15 = 77 11th row 14. 41 15. 10 16. 4 17. 33 18. 11. How many terms are there in the sequence 18, 25, 32, ... 354 ?( 1 - 1 ) 61 0 Find k so that 8k + 4, 6k - 2, and 2k - 7 will form an arithmetic sequence. 1.8 19arlenTo W .jon vilw 10 vriw nislexa aitemdins al sonsuper race ll sblood that on The first row of a concert hall has 25 seats, and each row after the first has one more seat then the row before it. There are 32 rows of seatsnit P + 1- OAD bns OLD brit :S - nt = D a. Write a rule for the number of seats in the nt row. 8 2 1 = NO .2sonsuper gniwollot ers to miss #n arlf 101 alun s brill . e.Es . vera ,20 .a b. 35 students from a class want to sit in the same row. How close to the front can they sit? 2sonsups2 gniwollot srit to me? "'n arlf 101 9lun s ethW 4. How many multiples of 6 are between 9 and 254? 2 = 10 s= b ResY ON S 821 188 .E 2 8- 15. The first term of an arithmetic sequence is (x - 2). The fifth term is 2x. The common difference is +(x -7). Find the value of x. :01 - At = aD 16. Find x if the following are 3 consecutive terms of an arithmetic sequence: (4x + 1), (x + 2), (x -9) suns ahw 17. Given an = 101, a1 = 5, and d = 3, find n. 18. In an arithmetic sequence, a6 = 18 and a11 = 3, find azo pee .SE 25 81 sonsupsa ers ni overseas empt ynem wortVV Withmetic Sequences 5 1 7 . . . . = has a common difference 2 X - 1 1, 3, 5, 7 a = a * d ( n- 1 ) a , 13 9 3 ay common difference a = answer first term in sequence 1 = any given time 9 = 1 + 2 (1- 11 ) Iton - 2 a= 1+ 2 ( n- 1 ) an - 97 - 18 ( 1- 1 ) an = 97 - 1 2 4 + 12 an- 109 - 12 h for mula ; an z d, + 2 (h-1) d- 4 a 2= 100 160 = 2 +4 ( 8 - 1 ) 106 - a, +28 1- 28 - 28 7 2 x 4 ( n - 1 ) un - u 48 tuh an\f