Arithmetic Series Worksheet by Kuta Software LLC for Infinite Algebra 2, Exercises of Algebra

Download Arithmetic Series Worksheet by Kuta Software LLC for Infinite Algebra 2 and more Exercises Algebra in PDF only on Docsity! ©w A290y1F1E dKkuPtnaD wSUozfGtFwXaer5eJ pL1LpC3.Y t fAbll o ArMiBgZhKtass 3rfexsoeRrfv4efdo.Q z jMWaAdIeZ w eiitYhD 1IjnhfzipnriWtCev sAkllgzelb3rLaB A2H.T Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Period____Date________________Arithmetic Series Evaluate the related series of each sequence. 1) 13, 15, 17, 19, 21, 23 2) 6, 11, 16, 21, 26, 31, 36 3) 22, 28, 34, 40, 46 4) 39, 49, 59, 69 Evaluate each arithmetic series described. 5) Σ k = 1 35 (5k − 2) 6) Σ i = 1 35 (3i − 13) 7) Σ m = 1 15 4m 8) Σ m = 1 10 (7m − 2) 9) Σ i = 1 6 3i 10) Σ n = 1 45 (3n − 9) 11) a 1 = 42, a n = 146, n = 14 12) a 1 = 4, a n = 22, n = 10 -1- ©z R2S0V1P1F wKju7t4a7 wSMoLf2tewHaPrces rLWLRCt.3 R MAMl7lk Drxicg6hytKsP GrVepsre7rPvbeFd8.6 I EM1aUdCe5 gwHiBtghX RIFnLfbi0ntiitieZ WA2lZg7e8bqrzah A2Q.4 Worksheet by Kuta Software LLC 13) a 1 = 2, a n = 122, n = 13 14) a 1 = −18, a n = −102, n = 13 15) 20 + 27 + 34 + 41..., n = 16 16) 20 + 30 + 40 + 50..., n = 15 17) 7 + 9 + 11 + 13..., n = 10 18) 10 + 12 + 14 + 16..., n = 11 Determine the number of terms n in each arithmetic series. 19) a 1 = 19, a n = 96, S n = 690 20) a 1 = 16, a n = 163, S n = 4475 21) a 1 = 19, a n = 118, S n = 822 22) a 1 = 15, a n = 79, S n = 423 23) a 1 = −3, d = 2, S n = 21 24) a 1 = 4, d = 7, S n = 228 25) (−2) + (−12) + (−22) + (−32)..., S n = −224 26) (−16) + (−26) + (−36) + (−46)..., S n = −1818 -2-