Question

Use the rule to write the first 12 in the pattern. Discribe another pattern in the numbers. 1. Rule: Subtract 7 First Term: 95____________________________________________________________________________________________________2. Rule: Add 15 Subtract 10 First Term:4____________________________________________________________________________________________________

Answer 1

we have

1. Rule: Subtract 7 First Term: 95

so

a1=95

a2=95-7=88

a3=88-7=81

a4=81-7=74

a5=74-7=67

a6=67-7=60

a7=60-7=53

a8=53-7=46

a9=46-7=39

a10=39-7=32

a11=32-7=25

a12=25-7=18

we have that

the general equation in this arithmetic sequence is

an=a1+d(n-1)

we have

a1=95

d=-7

substitute

an=95-7(n-1)

an=95-7n+7

an=102-7n

2. Rule: Add 15 Subtract 10 First Term:4

the rule add 15 and subtract 10 is the same that the rule add 5

so

a1=4

a2=4