Asked by MATH

THE 4TH TERM IS 37 AN THE 6TH TERM IS 12 MORE THAN THE 4TH TERM .FIND THE FIRST AN SEVENTH TERM
Answered by Reiny
I will assume that this is an arithmetic sequence.
fourth term = a+3d
sixth term = a+5d

sixth term = fourth term + 12
a+5d = a+3d + 12
2d = 12
d = 6

fourth term = 37
a+3d = 37
a + 18 = 37
a = .....

so,
first term = a = ...
7th term = a + 6d = .....