Quotient

Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1,6 a1-a2=2,4.

Correct answer:

q =  -5
a2 =  -2

Step-by-step explanation:

a3=10 a1+a2=1.6 a1a2=2.4 a1=(1.6+2.4)/2=25=0.4 a2=1.6a1=1.60.4=2 a2=qa1 q=a2/a1=(2)/0.4=5
a2=(2)=2



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Related math problems and questions:

  • Geometric seq
    eq222 Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
  • Q of GP
    geometric Calculate quotient of geometric progression if a1=5 a a1+a2=12.
  • Fifth member
    arithmet_seq Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7.
  • Five element
    sequence_geo The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5.
  • Geometric sequence
    cralici In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.
  • Geometric progression
    exp In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
  • Third member
    seq Determine the third member of the AP if a4=93, d=7.5.
  • Gp - 80
    gp One of the first four members of a geometric progression is 80. Find its if we know that the fourth member is nine times greater than the second.
  • Coefficient
    gp Determine the coefficient of this sequence: 7.2; 2.4; 0.8
  • Tenth member
    10 Calculate the tenth member of geometric sequence when given: a1=1/2 and q=2
  • Geometric progressiob
    eq2 If the sum of four consective terms of geometric progression is 80 and arithmetic mean of second and fourth term is 30 then find terms?
  • GP - three members
    progression_ao The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c.
  • Arithmetic progression
    postupnost1 In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
  • Geometric progression 2
    exp_x There is geometric sequence with a1=5.7 and quotient q=-2.5. Calculate a17.
  • Determine AP
    diff Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
  • GP - 8 items
    fn Determine the first eight members of a geometric progression if a9=512, q=2
  • GP members
    sequence_geo The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?