using the integers from 1 to 30, inclusive, all possible products of six consecu
ID: 2879377 • Letter: U
Question
using the integers from 1 to 30, inclusive, all possible products of six consecutive integers are calculated . How many of the products end in exactly two zeros? Can you please show the algebraic way to solve it? using the integers from 1 to 30, inclusive, all possible products of six consecutive integers are calculated . How many of the products end in exactly two zeros? Can you please show the algebraic way to solve it? using the integers from 1 to 30, inclusive, all possible products of six consecutive integers are calculated . How many of the products end in exactly two zeros? Can you please show the algebraic way to solve it? using the integers from 1 to 30, inclusive, all possible products of six consecutive integers are calculated . How many of the products end in exactly two zeros? Can you please show the algebraic way to solve it?Explanation / Answer
we have given integers 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30.
we find the product of six consecutive integers.
1*2*3*4*5*6=720
2*3*4*5*6*7=5040
3*4*5*6*7*8=20160
4*5*6*7*8*9=60480
5*6*7*8*9*10=151200
6*7*8*9*10*11=332640
7*8*9*10*11*12=665280
8*9*10*11*12*13=1235520
9*10*11*12*13*14=2162160
10*11*12*13*14*15=3603600
11*12*13*14*15*16=5765760
12*13*14*15*16*17=8910720
13*14*15*16*17*18=13366080
14*15*16*17*18*19=19535040
15*16*17*18*19*20=27907200
16*17*18*19*20*21=39070080
17*18*19*20*21*22=53721360
18*19*20*21*22*23=72681840
19*20*21*22*23*24=96909120
20*21*22*23*24*25=127512000
21*22*23*24*25*26=165765600
22*23*24*25*26*27=213127200
23*24*25*26*27*28=271252800
24*25*26*27*28*29=342014400
25*26*27*28*29*30=427518000
The Seven (7) products end in exactly two zeros as below
5*6*7*8*9*10=151200
10*11*12*13*14*15=3603600
15*16*17*18*19*20=27907200
21*22*23*24*25*26=165765600
22*23*24*25*26*27=213127200
23*24*25*26*27*28=271252800
24*25*26*27*28*29=342014400
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.