smc

Question

In the eight term sequence A, B, C, D, E, F, G, H, the value of C is 5 and the sum of any three consecutive terms is 30. What is A+H?

Accepted Answer

Let A=x. Then from A+B+C=30, we find that B=25-x. From B+C+D=30, we then get that D=x. Continuing this pattern, we find E=25-x, F=5, G=x, and finally H=25-x. So A+H=x+25-x=25 25