Consider the arithmetic sequence 27, 40, 53, 66, 79, . . what rule can be used to find the next term of the sequence? an = an–1 – 79 an = an–1 – 13 an = an–1 + 13 an = an–1 + 79

Let
a1=27
a2=40
a3=53
a4=66
a5=79

we know that
a2-a1=40-27=13> a2=a1+13

a3-a2=53-40=13> a3=a2+13

a4-a3=66-53=13> a4=a3+13

a5-a4=79-66=13> a5=a4+13

therefore

the rule that can be used to find the next term in the sequence is
an=a(n-1)+13

the answer is the option
an = an–1 + 13