The ancient greeks were very interested in number patterns. triangular numbers are number that can be represented by a triangular array of dots, with n dots on each side. the first three triangular numbers are 1, 3, and 6.
write a formula for the nth term of this sequence.
a) an= 2n
b) an= n^2/2
c) an= n(n+1)/2
d) an= n+1/2

The label on the car's antifreeze container claims to protect the car between ? 40°c and 125°c. to convert celsius temperature to fahrenheit temperature, the formula is c = 5 over 9 (f ? 32). write and solve the inequality to determine the fahrenheit temperature range at which this antifreeze protects the car. ? 40 > 5 over 9 (f ? 32) > 125; ? 40 > f > 257 ? 40 < 5 over 9 (f ? 32) < 125; ? 40 < f < 257 ? 40 < 5 over 9 (f ? 32); ? 40 < f 5 over 9 (f ? 32) < 125; f < 257

Two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers

Luke wants to reduce the area of his rectangular garden by 1/4 the expression 14/w can be used to represent this change. what is another way to write this expression?