2.5.5 Calculate the value of each of the following summations: (a) =4h (b) 1 51 74...

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2.5.5 Calculate the value of each of the following summations: (a) Σ=4h (b) Σ1 51 74 Chapter 2: Patr (c) Σ=15 (d) Σ–, 2* (e) Σ (9 – m) 2.5.6 Calculate the value of each of the following summations: (2) Σ(4i + 3) (b) Σ, 4i + 3 2.5.1 For each of the following sequences, first determine the next value in the sequence and then determine the recursive and closed formula that generates the sequence. (a) 2,4,6, 8, 10, 12, 2.5 Exercises (b) 16, 64, 256, 1024. (c) 1.2.4, 8, 16, 32,- (d) 2, 4, 8, 16, 32, 64. (e) 1.3.7. 15, 31, 63 Hint: Compare this sequence to the previous sequence. (f) 2.5, 8, 11, 14, 17. (g) 10, 20, 30, 40, 50 (h) 7,7,7,7,7,7.- (i) 10. 100, 1000, 10000.- (j) -40, -30.-20, -10,0. 10. 2.5.2 Given the following sequence: 1.2, 3, 5, 7, 11, 15, 23, 31 Determine the next number in the sequence and state the recursive formula that generates it. 2.5.3 Express each of the following sums using sigma notation: (a) 5+10+15+20+25 +30 (b) 6+11+16+21 +26+31+36 (c) 1+2+0+24 +120 +720 (d) 0+1+8+27 +64 +125 (e) 7+7+7+7 73 1+1+1+#+# 1) Convert the following from closed form to recursive form: ak-4k-3 2) Convert the following from closed form to recursive form: bk-4x5k (that is "bk equala 4 times 5 to the power of k") 2.5.5 Calculate the value of each of the following summations: (a) Σ=4h (b) Σ1 51 74 Chapter 2: Patr (c) Σ=15 (d) Σ–, 2* (e) Σ (9 – m) 2.5.6 Calculate the value of each of the following summations: (2) Σ(4i + 3) (b) Σ, 4i + 3 2.5.1 For each of the following sequences, first determine the next value in the sequence and then determine the recursive and closed formula that generates the sequence. (a) 2,4,6, 8, 10, 12, 2.5 Exercises (b) 16, 64, 256, 1024. (c) 1.2.4, 8, 16, 32,- (d) 2, 4, 8, 16, 32, 64. (e) 1.3.7. 15, 31, 63 Hint: Compare this sequence to the previous sequence. (f) 2.5, 8, 11, 14, 17. (g) 10, 20, 30, 40, 50 (h) 7,7,7,7,7,7.- (i) 10. 100, 1000, 10000.- (j) -40, -30.-20, -10,0. 10. 2.5.2 Given the following sequence: 1.2, 3, 5, 7, 11, 15, 23, 31 Determine the next number in the sequence and state the recursive formula that generates it. 2.5.3 Express each of the following sums using sigma notation: (a) 5+10+15+20+25 +30 (b) 6+11+16+21 +26+31+36 (c) 1+2+0+24 +120 +720 (d) 0+1+8+27 +64 +125 (e) 7+7+7+7 73 1+1+1+#+# 1) Convert the following from closed form to recursive form: ak-4k-3 2) Convert the following from closed form to recursive form: bk-4x5k (that is "bk equala 4 times 5 to the power of k")