急!F6 Arithmetic Sequences 01q5

2013-03-30 10:46 pm
請詳細步聚教我計以下二條 :


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回答 (1)

2013-03-30 11:41 pm
✔ 最佳答案
13(a) a = 7, d = 3

S(18) = (18/2)[2 * 7 + 3(18 - 1)] = 9 * 65 = 585

(b) S(29) - S(18)

= (29/2)[2 * 7 + 3(29 - 1)] - 585

= 1421 - 585

= 836

14 a_4 + 3d = a_7

-3 + 3d = 9

d = 4

a_1 = -3 - 3d = -15

a_12 + ... + a_24

= S(24) - S(11)

= (24/2)[2(-15) + 3 * 23] - (11/2)[2(-15) + 3 * 10]

= 12 * 39 - 0

= 468


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