AP 6

Calculate the first five items of an arithmetic sequence if it is given:
a2 – a3 + a5 = 20
a1 + a6 = 38

Result

a =  14
a2 =  16
a3 =  18
a4 =  20
a5 =  22

Solution:


(a+d) – (a+2d) + (a+4d) = 20
a + (a+5d) = 38

a+3d = 20
2a+5d = 38

a = 14
d = 2

Calculated by our linear equations calculator.
Solution in text a2 =
Solution in text a3 =
Solution in text a4 =
Solution in text a5 =







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

Next similar examples:

  1. 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
  2. AP - basics
    ap Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
  3. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
  4. Sequence 3
    75 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
  5. Sequence
    seq_1 Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
  6. AP - simple
    sigma_1 Determine the first nine elements of sequence if a10 = -1 and d = 4
  7. Sequence 2
    seq2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
  8. 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?
  9. 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.
  10. Sequence
    sunflower Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
  11. 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.
  12. Children
    children_3 The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
  13. 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?
  14. 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
  15. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  16. Elimination method
    rovnice_1 Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
  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?