打印100内的等差数列,从1开始,差值为4,详细过程
时间: 2024-05-27 18:14:23 浏览: 82
首先,我们需要确定等差数列的公式:a_n = a_1 + (n-1)d,其中a_n表示第n个数,a_1表示第一个数,d表示公差。
根据题目,我们已知a_1 = 1,d = 4,所以公式为:a_n = 1 + (n-1)4。
接下来,我们从n=1开始,代入公式算出每个数的值,直到n=25(因为a_25 = 1 + (25-1)4 = 97,超出了100)。
n=1时,a_1 = 1 + (1-1)4 = 1
n=2时,a_2 = 1 + (2-1)4 = 5
n=3时,a_3 = 1 + (3-1)4 = 9
n=4时,a_4 = 1 + (4-1)4 = 13
n=5时,a_5 = 1 + (5-1)4 = 17
n=6时,a_6 = 1 + (6-1)4 = 21
n=7时,a_7 = 1 + (7-1)4 = 25
n=8时,a_8 = 1 + (8-1)4 = 29
n=9时,a_9 = 1 + (9-1)4 = 33
n=10时,a_10 = 1 + (10-1)4 = 37
n=11时,a_11 = 1 + (11-1)4 = 41
n=12时,a_12 = 1 + (12-1)4 = 45
n=13时,a_13 = 1 + (13-1)4 = 49
n=14时,a_14 = 1 + (14-1)4 = 53
n=15时,a_15 = 1 + (15-1)4 = 57
n=16时,a_16 = 1 + (16-1)4 = 61
n=17时,a_17 = 1 + (17-1)4 = 65
n=18时,a_18 = 1 + (18-1)4 = 69
n=19时,a_19 = 1 + (19-1)4 = 73
n=20时,a_20 = 1 + (20-1)4 = 77
n=21时,a_21 = 1 + (21-1)4 = 81
n=22时,a_22 = 1 + (22-1)4 = 85
n=23时,a_23 = 1 + (23-1)4 = 89
n=24时,a_24 = 1 + (24-1)4 = 93
n=25时,a_25 = 1 + (25-1)4 = 97
因此,1、5、9、13、17、21、25、29、33、37、41、45、49、53、57、61、65、69、73、77、81、85、89、93、97就是100内公差为4的等差数列。
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