Question

Construct a difference table to predict the next term of the sequence. −1, 6, 26, 65, 129, 224, 356, . . .

Answer 1

531

Explanation:

6-(-1)=7

26-6=20

65-26=39

129-65=64

224-129=95

356-224=132

20-7=13

39-20=19

64-39=25

95-64=31

132-95=37

19-13=25-19=31-25=37-31=6

next difference=37+6=43

132+43=175

next number =356+175=531