The product 9

The product of the third and second terms of the arithmetic progression is 3000. If the common difference is 10, find the first term.

Correct answer:

a1 =  50
a2 =  -60

Step-by-step explanation:

d=10  b=a1+d  a b=3000 a (a+d)=3000  a (a+d)=3000  a (a+10)=3000 a2+10a3000=0  p=1;q=10;r=3000 D=q24pr=10241(3000)=12100 D>0  a1,2=2pq±D=210±12100 a1,2=210±110 a1,2=5±55 a1=50 a2=60

Our quadratic equation calculator calculates it.

a2=(60)=60   Verifying Solution:  b1=a1+d=50+10=60 b2=a2+d=(60)+10=50  s1=a1 b1=50 60=3000 s2=a2 b2=(60) (50)=3000

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: