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

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

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.