To get from step 1= 24 to step 2= 22, we have to subtract 2, so from the original 24 we have subtracted 2 1 time in step 2. To get from step 2= 22 to step 3= 20, we have to subtract 2, so from the original 24 we have subtracted 2 2 times in step 3. To get from step 3= 20 to step 4= 18, we have to subtract 2, so from the original 24 we have subtracted 2 3 times in step 4. To get from step 4= 18 to step 5= 16, we have to subtract 2, so from the original 24 we have subtracted 2 4 times in step 5. To get from step 5= 16 to step 6= 14, we have to subtract 2, so from the original 24 we have subtracted 2 5 times in step 6. To get from step 6= 14 to step 7= 12, we have to subtract 2, so from the original 24 we have subtracted 2 5 times in step 7. . . . To get from step n-1 = an-1 to step n= an, we have to subtract 2, so from the original 24 we have subtracted 2 n-1 times in step n. To get from step n= an to step n+1= an+1 we have to subtract 2, so from the original 24 we have subtracted 2 n times in step n+1. Therefore the recursive formula is a1 = 24, an+1 = an - 2 and the general formula is an = 24 - (n-1)·2 That can be simplified: an = 24 - 2(n-1) an = 24 - 2n + 2 an = 26 - 2n an = 2(13 - n) Edwin