AP - basics

Determine first member and differentiate of the the following sequence:

a3-a5=24
a4-2a5=61

Result

a =  -1
d =  -12

Solution:


a+2d -(a+4d) = 24
a+3d - 2(a+4d) = 61

2d = -24
a+5d = -61

a = -1
d = -12

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




To solve this example are needed these knowledge from mathematics:

Do you have a system of equations and looking for calculator system of linear equations?

Next similar examples:

  1. AP - simple
    sigma_1 Determine the first nine elements of sequence if a10 = -1 and d = 4
  2. Third member
    seq_6 Determine the third member of the AP if a4=93, d=7.5.
  3. 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.
  4. 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.
  5. Sequence 3
    75 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
  6. Sequence
    seq_1 Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
  7. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
  8. Sequence 2
    seq2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
  9. AS - sequence
    matematika_icon What are the first ten members of the sequence if a11=22, d=2.
  10. Three workshops
    workers_24 There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
  11. Gasoline canisters
    fuel_4 35 liters of gasoline is to be divided into 4 canisters so that in the third canister will have 5 liters less than in the first canister, the fourth canister 10 liters more than the third canister and the second canister half of that in the first canist
  12. 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
  13. Sequence
    sunflower Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
  14. Elimination method
    rovnice_1 Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
  15. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  16. Roof
    roof Tiles are stacked in rows on the trapezoidal shaped roof. At the ridge is 15 tiles and each subsequent row has one more tile than in the previous row. How many tiled is covered roof if lowermost row has 37 tiles?
  17. 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?