Find the formula for the nth term, and find the indicated term for each arithmetic sequence.a) 3, 5, 7, ; t_(30)b) -2, -6, -10, ; t_(25)c) -4, 3, 10, ; t_(18) 相关知识点: 试题来源: 解析 a) The n^((th)) term and value of t_(30) are 2n+1 and 61 ...
8. Study the following patterns, add one more pattern in the sequence and find the formula for the n term of the sequenc e. a.3n△ b.口5n C.区714n+1 d.4n-3 e.n+2 f.1/2n(n+1) l h.zZ乙3n+1 相关知识点: 试题来源: 解析 3n5n4n+14n-3n+2PD=12n(n+1)3n+1 ...
Find a formula for of the following sequence: 2, 5, 8, 11, ... A: - 1) B: − 1 C: D: 相关知识点: 试题来源: 解析 B None 反馈 收藏
Find a formula for the sum S_n of the first n terms of sequence. Then prove that your formula is true using mathematical induction.2, 6, 10, 14,…, (4n-2) 相关知识点: 试题来源: 解析 S_n=2n^2; Let P_n be the statement 2+6+10+14+⋯ +(4n-2)=2n^2. Because 2=2(1)^...
(1)Find a formula for the nth term of each sequence. (2)Find the nth term. (3)Find the sum of the first n terms of the sequence. 相关知识点: 试题来源: 解析 (1)a_n=7(3)^(n-1) (2)a_9=45,927 (3)S_9=(7(1-3^9))(1-3)S_9=68,887 反馈...
Find the explicit formula for u_n if:a u_(n+1)=u_n+7 and u_1=5b u_(n+1)=0.4u_n and u_1=100 相关知识点: 试题来源: 解析 a We identify this sequence as arithmetic with d=7.Now u_n=u_1+(n-1)d∴ \ u_n=5+(n-1)7∴ \ u_n=7n-2b We identify this seq...
百度试题 结果1 题目Find a formula for the nth term of the arithmetic sequence a_3=16, a_4=20 相关知识点: 试题来源: 解析 a_n=4n+4 反馈 收藏
Given that, 1, 3, 5, 7, … to 12 terms n = 12 Given first term, a = a1 = 1 Common difference, d = a2 – a1 = 3 – 1 = 2 By using the formula, Sn= n/2 (2a + (n – 1) d) Substitute the values of ‘a’ and ‘d’, we get S12 = 12/2 (2(1) +
解析 For this sequence, the common difference is d =9-2=7. Next find a formula for the n th term. Because the first term is 2, it follows that c=a1-d=2-7=-5. Therefore, a formula for the n th term is which implies that the seventh term is a_7=7(7)-5=44 . ...
Answer to: Find the first three terms of the sequence a_n = {(n + 4)!} / {n!}. By signing up, you'll get thousands of step-by-step solutions to...