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 example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




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

Next similar examples:

  1. AP - basics
    ap Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
  2. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
  3. Sequence 2
    seq2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
  4. Sequence
    seq_1 Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
  5. AP - simple
    sigma_1 Determine the first nine elements of sequence if a10 = -1 and d = 4
  6. AP 6
    progression_ao Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38
  7. Seats
    divadlo_2 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
  8. AS sequence
    AP In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
  9. Difference AP 4
    sequence_geo_1 Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
  10. Sequence
    sunflower Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
  11. Three unknowns
    matrix_1 Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
  12. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  13. Ball game
    lopta_3 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.
  14. Legs
    rak 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?
  15. Holidays - on pool
    pool_4 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?
  16. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  17. Children
    children_3 The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?