MATH F1

2008-06-08 1:14 am
If the 15th term of the sequence 3,3+x,3+2x,3+3x,...is 31, find the 34 term of the sequence.

點計?

回答 (1)

2008-06-08 1:30 am
✔ 最佳答案
Form 1 未教 arithmetic progression (A.P.) 不能用吧?

那麼只能用未知數x與數列的關係推算出其公式

the sequence is 3, 3+x, 3+2x, 3+3x, ...... ,3+(n-1)(x)

the 15th term = 3+(15-1)x = 31

3+14x = 31
14x = 28
x =2

the sequence is in the form of
3+(n-1)(2)

therefore the 34th term =

3+(34-1)(2)
= 3+66
= 69


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