Question

What is the 72nd term of arithmetic sequence-27,-11,5

Answer 1

Answer:

1109

Step-by-step explanation:

you can subtract the terms to see the difference between them

-11-(-27)=16

The sequence is increasing by 16

you can plug that 16 in the formula for d

a_n=a_1+(n-1)d

a_n=a_1+(n-1)16

n represents the term you want to find in this case the 72nd

a sub 1 is the first term of the sequence in this case -27

a_72=-27+(72-1)16

a_72=-27+(71)16

a_72=-27+1136

a_72=1109

Answer 2

Answer:

1109.

Step-by-step explanation:

The common difference  is -11 - (-27) = 16  (also 5 - -11 = -16)

72nd term = a1 + d(n -1)

= -27 + 16(71)

= 1109.