Determine whether the table below represents an arithmetic sequence. If so, write the formula.

X-1,2,3,4,5
Y-1,-8,-17,-26,-35

Question

Determine whether the table below represents an arithmetic sequence. If so, write the formula.

X-1,2,3,4,5
Y-1,-8,-17,-26,-35

anonymous · Answer

First One:

X is an Arithmetic Progression with common difference of 1

a = 1 and d = 1

tn = a + (n - 1)*d = 1 n - 1 = n

tn = n

Second One:

d = -8 - 1 = -9

d = -17 + 8 = -9

Y is also an Arithmetic Progression with common difference of (-9)

a = 1 and d = -9

tn = 1 + (n - 1)*(-9)

tn = 1 -9n + 9

tn = 10 - 9n