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.    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. 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
2. AP - basics Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
3. Sequence Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
4. Sequence Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
5. Sequence 3 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
6. Sequence 2 Write the first 5 members of an arithmetic sequence a11=-14, d=-1
7. AP - simple Determine the first nine elements of sequence if a10 = -1 and d = 4
8. Three workshops 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 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 Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
11. Children The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
12. 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.
13. Three unknowns Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
14. Linsys2 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
15. 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?
16. Elimination method Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
17. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?