GP members

The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?

Correct answer:

x =  14

Step-by-step explanation:

a9=2 a10=1  q=a10/a9=(1)/2=12=0.5  a(n)=a1 q(n1)  a8=a9/q=2/(0.5)=4  a11=q a10=(0.5) (1)=12=0.5 a12=q a11=(0.5) 0.5=14=0.25 a13=q a12=(0.5) (0.25)=18=0.125 a14=q a13=(0.5) 0.125=116=0.0625  x=14 x>10??



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Geometric sequence 5
    sequence About members of geometric sequence we know: ? ? Calculate a1 (first member) and q (common ratio or q-coefficient)
  • 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 seq
    eq222 Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
  • Sequences AP + GP
    seq_sum The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.
  • Geometric progression
    exp In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
  • Geometric sequence 4
    Koch_Snowflake_Triangles It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
  • 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.
  • 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.
  • Five members
    pst3 Write first 5 members geometric sequence and determine whether it is increasing or decreasing: a1 = 3 q = -2
  • Tenth member
    10 Calculate the tenth member of geometric sequence when given: a1=1/2 and q=2
  • Quotient
    fun1 Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1,6 a1-a2=2,4.
  • Geometric sequence
    cralici In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.
  • Sequence - 5 members
    schody Write first five members of the sequence ?
  • GP - sequence
    sequence_geo The first three terms of a geometric sequence are as follows 10, 30. 90, find the next two terms of this sequence.
  • HP - harmonic progression 2
    seq Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively.
  • Geometric sequence 3
    sequence In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
  • Sequence
    seq Calculate what member of the sequence specified by (5n-2+15) has value 20.