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. Numbers
    ten Determine the number of all positive integers less than 2937474 if each is divisible by 11, 23, 17. What is its sum?
  2. Angle in RT
    triangles_10 Determine the size of the smallest internal angle of a right triangle whose sides constitutes sizes consecutive members of arithmetic progressions.
  3. Sequence
    arithmetic_seq In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
  4. Sequence
    a_sequence Write the first 7 members of an arithmetic sequence: a1=8, d=-9.
  5. Sequence 2
    seq2 Write the first 4 members of an arithmetic sequence a5=-18, d=-7
  6. Cinema
    cinema Cinema auditorium is built for 1740 people. The first row is planned for 29 seats and each next gradually 2 more. How many rows of seats will have auditorium?
  7. n-gon
    ngon_1 Gabo draw n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
  8. Lines
    lines_1 In how many points will intersect 11 different lines, where no two are parallel?
  9. Ravens
    krkavec The tale of the Seven Ravens were seven brothers, each of whom was born exactly 1.5 years after the previous one. When the eldest of the brothers was 4-times older than the youngest, mother all curse. How old was seven ravens brothers when their mother cur
  10. Octahedron - sum
    8sten On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8, wherein on different sides are different numbers. For each wall John make the sum of the numbers written of three adjacent walls. Thus got eight sums, which also.
  11. Workman - shift
    favorit_skoda The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components?
  12. Rope
    navijak How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and length 350 mm (central mandrel have a diameter 50 mm)?
  13. Angles in a triangle
    fun The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=69°. What sizes have other angles in a triangle?
  14. Sequence
    Quadratic_equation In the arithmetic sequence is given: Sn=5214, d=9, an=302 Calculate a1 and n.
  15. Pravoúhly trojúhelník
    tr_2 Určete obsah pravoúhlého trojúhelníku, jehož délky stran tvoří po sobě jdoucí členy aritmetické posloupnosti a poloměr kružnice opsané tomuto trojúhelníku je 5 cm.
  16. AVG of INT
    seq_moon What is the average of the integers from 7 throuht 15 inclusive?
  17. Gauss
    kfgauss Help little C.F. Gauss sum all the integers from 1 to 340.