SEQUENCES AND SERIES WORKSHEET, Exercises of Calculus

Download SEQUENCES AND SERIES WORKSHEET and more Exercises Calculus in PDF only on Docsity! Name__________________________________________ Date_______________ Period_________ SEQUENCES & SERIES WORKSHEET Arithmetic: 1 1 ( 1) ( ) 2 n n n a a n d n a a S      Geometric: 1 1 1(1 ) 1 n n n n a a r a r S r     Determine what type of sequence the following are and then write the implicit and explicit formulas for each. 1. -5, -1, 3, 7, … 2. 5, 15, 45, 135, … 3. a1=3, d=-4, n=6 4. a1=-4, n=6, r=-2 Find the missing terms in each sequence. You are given what type of sequence represents each one. 5. _____, _____, 2, _____, _____, 54 (geometric) 6. 3, _____, _____, 20 (arithmetic) 7. 5, _____, _____, 27 (arithmetic) 8. 32, _____, _____, _____, 162 (geometric) 9. _____, -10, _____, _____, _____, 14 (arithmetic) 10. Find the 15 th term for the arithmetic sequence –3, 3, 9, … 11. Find the first 4 terms of the geometric sequence with a1 = -6 and r = 2 3  1−r