SOLUTION: Consider two different arithmetic sequences: 3,14,25,36,47,58 ....where numbers increase by 11 and 2,9,16,23,30 .... where numbers increase by 7. What are the first 10 numbers w

Algebra ->  Sequences-and-series -> SOLUTION: Consider two different arithmetic sequences: 3,14,25,36,47,58 ....where numbers increase by 11 and 2,9,16,23,30 .... where numbers increase by 7. What are the first 10 numbers w      Log On


   



Question 859776: Consider two different arithmetic sequences:
3,14,25,36,47,58 ....where numbers increase by 11 and
2,9,16,23,30 .... where numbers increase by 7.
What are the first 10 numbers which appear in both sequences ????
Please help ... thank you!!!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The first sequence starts at 3 and increments by 11.
A=3%2B11j where j is any integer greater than or equal to 0.0
The second sequence starts at 2 and increments by 7.
B=2%2B7k where k is any integer greater than or equal to 0.0.
So now find when A=B
3%2B11j=2%2B7k
.
.
j%5B0%5D=5
k%5B0%5D=8
.
.
j=5%2B7n
k=8%2B11n
Now solve for A=B with n=1 through n=10 for the first 10 values that appear in both sequences.