Arithmetic progression

In some AP applies:

5a2 + 7a5 = 90
s3 = 12

Find the first member a =? and difference d = ?

Result

a =  2
d =  2

Solution:

5*(a+d)+7*(a+4*d) = 90
a+(a+d)+(a+2*d) = 12

12a+33d = 90
3a+3d = 12

a = 2
d = 2

Calculated by our linear equations calculator.

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem are needed these knowledge from mathematics:

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar math problems:

1. Sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
2. Sequence 2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
3. Sequence Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
4. AP - simple Determine the first nine elements of sequence if a10 = -1 and d = 4
5. Seats Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
6. AP 6 Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38
7. Fifth member Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7.
8. Third member Determine the third member of the AP if a4=93, d=7.5.
9. Determine AP Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
10. Difference AP 4 Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
11. Sequence Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
12. Linsys2 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
13. Legs Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
14. Children The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
15. Ball game Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
16. Holidays - on pool Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
17. Elimination method Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15