CapsLock A S X Shift Ctri Win Alt Fatiman Baig Pre-Calculus 10.1-10.3 Quiz Review 9 1. Given the sequence - 1 5 _ 25 125 5. Find the common difference of the arithmetic 3 ' 3 ' "' sequence for which a, = 20 and ag = -1. determine if it is arithmetic, geometric or neither. Use complete sentences to an = 9 +d (n - 1 ) explain how you know. 98 = 20+ 1 (8- 1 ) , -21 = 3(7) This sequence is geometric - 1 = 2 0 + d ( 7 ) / d = - 3 For an arithmetic sequence where a, = -12 and d = 3, which term's value is 57? 2. Write an explicit and recursive formula for the nth term of the arithmetic sequence -6, -1, 4, 9, ... Write a sequence that has three geometric a) Explicit Formula means between -32 and -2. an = - 6 + 5 ( n -1) an = - 6 +5n- 5 jan = 50-11) b) Recursive Formula - 32- 16 - 8 1 -2 8. Find the 50th partial sum of a , = - 6 , an = an -1 + 5 55 + 62 + 69 + 76... n= 50 Shy [2 aitd (n-1 ) ] 3. Write an explicit and recursive formula 5 50 = 2 12 (5 5)+ 7 (50- 1)] for the nth term of the geometric ( 110 + 343] sequence 10, -20, 40, ... [ 453 ) 1560 = 11, 325 a) Explicit Formula - 20 , 40 9. Find the 7th term of the geometric sequence an = a, (rin - 1 10 - + - 2 - 20 -2 729, 486, 324, ... 91 = 729 an = 10 ( - 2 ) n-1 an = 729 (167 ) * = . 67 97 = 72 9 (67 ) 7 - 1 an = air 27= 647 b) Recursive Formula 9, = 10 an = - 20n -1 10. Find the sum of the geometric series and round to the nearest tenth: Lin=1 -2(1.5) n-1 4. Find the ninth term of the sequence 9 , = 1 defined as an = n* - 11n. 1= 1. 5 1rl = 1 151